In order to be eligible to participate in this investigation, an individual must meet all of the following criteria: Cohort #1 (n=500): 1. Evidence of personally signed and dated informed consent document indicating that the participant has been informed of all pertinent aspects of the study and was willing and able to consent to participation. 2. Age ≥18 years old. 3. Documented SARS-CoV-2 infection 6 or more months prior using an Antigen or NAAT. 4. Clinical evidence of Long COVID, as confirmed by the investigator's assessment: a. At least one symptom (listed below) that is new or worsened since the time of SARS-CoV-2 infection, not known to be attributable to another cause upon assessment by the study clinicians (MD, DO, NP, PA, RN, or equivalent). i. Systemic symptoms (e.g., fatigue, chills, post-exertional malaise), neurocognitive symptoms (e.g., trouble with memory/concentration ("brain fog"), headache, dysautonomia/postural orthostatic tachycardia syndrome, dizziness, unsteadiness, neuropathy, sleep disturbance), cardiopulmonary symptoms (e.g., chest pain, palpitations, shortness of breath, cough, fainting spells), musculoskeletal symptoms (e.g., muscle aches, joint pain), gastrointestinal symptoms (e.g., nausea, diarrhea). Although other symptoms (e.g., skin rash, hair loss, mental health symptoms, trouble with smell/taste, genitourinary symptoms) will be recorded and tracked, at least one core symptoms listed above must be present. b. Symptoms must have started after January 2020 and be present for at least 6 months prior to screening. Symptoms that wax and wane must have been initially present at least 6 months prior to screening. c. Symptoms must be reported to be at least somewhat bothersome and to have an impact on quality of life and/or everyday functioning. d. Symptoms cannot be explained by an alternative diagnosis. e. Cognitive impairment present defined by having at least 20% positive items (answered subjectively worse or much worse) on the 41-item modified ECog questionnaire. Cohort #2 (n=50): 1. Evidence of personally signed and dated informed consent document indicating that the participant has been informed of all pertinent aspects of the study and was willing and able to consent to participation. 2. Age ≥18 years old. 3. Clinical diagnosis of COVID infection 6 or more months prior a. Clinical Criteria (Based on Council of State and Territorial Epidemiologists Standardized Surveillance Case Definition for COVID-19): i. At least two of the following symptoms: Fever (measured or subjective), chills, rigors, myalgia, headache, sore throat, new olfactory and taste disorder(s). -OR- ii. At least one of the following symptoms: Cough, shortness of breath, or difficulty breathing. -OR- iii. Severe respiratory illness with at least one of the following: clinical or radiographic evidence of pneumonia or Acute Respiratory Distress Syndrome (ARDS). -AND- iv. No alternate more likely diagnosis 4. Clinical evidence of Long COVID, as confirmed by the clinician's assessment: a. At least one symptom (listed below) that is new or worsened since the time of SARS-CoV-2 infection, not known to be attributable to another cause upon assessment by the study clinicians (MD, DO, NP, PA, RN, or equivalent). i. Systemic symptoms (e.g., fatigue, chills, post-exertional malaise), neurocognitive symptoms (e.g., trouble with memory/concentration ("brain fog"), headache, dysautonomia/postural orthostatic tachycardia syndrome, dizziness, unsteadiness, neuropathy, sleep disturbance), cardiopulmonary symptoms (e.g., chest pain, palpitations, shortness of breath, cough, fainting spells), musculoskeletal symptoms (e.g., muscle aches, joint pain), gastrointestinal symptoms (e.g., nausea, diarrhea). Although other symptoms (e.g., skin rash, hair loss, mental health symptoms, trouble with smell/taste, genitourinary symptoms) will be recorded and tracked, at least one core symptoms listed above must be present. b. Symptoms must have started after January 2020 and be present for at least 6 months prior to screening. Symptoms that wax and wane must have been initially present at least 6 months prior to screening. c. Symptoms must be reported to be at least somewhat bothersome and to have an impact on quality of life and/or everyday functioning. d. Cognitive impairment present defined by having at least 20% positive items (answered subjectively worse or much worse) on the 41-item modified ECog questionnaire.

An individual who meets any of the following criteria will be excluded from participation in this investigation: 1. Pre-existing cognitive impairment not exacerbated by COVID-19, including but not limited to syphilis, as determined by study clinicians (MD, DO, NP, PA, RN, or equivalent), which may include a review of participant's history and medical records. 2. Severe cognitive, physical, or psychological disability preventing participation in the study, as determined by the investigator. 3. Moderate or High risk of suicidality, as determined by the modified Columbia Suicide Severity Rating Scale (mC-SSRS). 4. History of a major adverse cardiovascular event (MACE) within the 3 months prior to enrollment. 5. Current use of baricitinib or other disease-modifying antirheumatic drug (DMARDs) 6. Known prior allergic reactions to components of the baricitinib. 7. Previously randomized in this study or in the last 30 days have been in another study investigating baricitinib. 8. Current probenecid use. 9. Positive SARS-CoV-2 NAAT or rapid Antigen test in the 14 days prior to screening. 10. Currently pregnant or breastfeeding or planning to become pregnant or breastfeed during the course of the study. 11. Venous thromboembolism in the past 6 months prior to screening or felt to be at increased risk of thrombosis by the investigator. 12. Malignancy or lymphoproliferative disorder not in remission for at least 5 years. Local non-melanoma skin cancers that are definitively managed are not exclusionary. 13. Previous admission to an ICU for treatment of acute COVID-19 infection. 14. Estimated glomerular filtration rate of < 30 mL/min/1.73m2, as calculated using the CKD-EPI 2021 equation. 15. Absolute Neutrophil Count (ANC) <1000 cells/mm3, confirmed on repeat testing. 16. Absolute Leukocyte Count (ALC) <100 cells/mm3. 17. Evidence of severe liver disease at the time of screening, defined as Bilirubin > 1.5 X ULN or AST or ALT > 2x ULN. 18. Alkaline Phosphatase (ALP) ≥ 3x ULN. 19. Creatine Phosphokinase (CPK) ≥ 3x ULN. 20. Hemoglobin (HgB) < 8 g/dL, confirmed on repeat testing. 21. Platelets <100,000 cells/mm3, confirmed on repeat testing. 22. Platelets >500,000 cells/mm3, confirmed on repeat testing. 23. Total fasting cholesterol ≥ 280 mg/dL, confirmed on repeat testing. 24. Fasting LDL ≥ 180 mg/dL, confirmed on repeat testing. 25. Positive Hepatitis B surface antigen or Hepatitis B core antibody. Note: Individuals with a positive Hepatitis B core antibody will be excluded even in the presence of a positive Hepatitis B surface antibody due to the risk of reactivation. 26. Positive for Hepatitis C at the time of Screening. Note: treated or cleared Hepatitis C is not exclusionary. 27. Symptomatic herpes zoster infection (i.e., visible herpetic skin lesions of Zoster) within 3 months prior to study screening, or any history of disseminated/complicated herpes zoster or herpes simplex infection (e.g., VZV encephalitis). 28. History of untreated latent tuberculosis infection (diagnosed with QuantiFERON-TB Gold Plus testing) or active tuberculosis whether treated or untreated. Note: those with a positive PPD who have a history of BCG vaccine and a negative QuantiFERON-TB Gold Plus test will remain eligible). 29. History of current or recent (< 30 days from screening) sepsis or clinically significant viral, bacterial, fungal, or parasitic infection, according to the determination of the investigator. 30. Participants with HIV will be excluded if they have been on ART <1 year, have a CD4+ T cell count <500 cells/ml (confirmed on repeat), or have two consecutive HIV plasma RNA viral load > 48 copies/mL within 1 year of study screening, including requiring the most recent within 3 months of screening. Blips (VL > 48 copies/mL but < 200 copies/mL) are permitted if preceded and followed by values below the assay limit of quantification. 31. Immunocompromised as defined by NIH COVID-19 guidelines (see Appendix) and, in the opinion of the investigator, at an unacceptable risk for participating in the study. 32. Treatment with another investigational drug or device as part of an interventional study within 30 days of study screening. 33. In the opinion of the investigator, unable to reliably follow-up for the duration of the study and/or are unable to follow study restrictions/procedures. 34. Persons of childbearing potential under age 55 who are unwilling or unable to abstain from sex or to use at least one acceptable method of contraception from the time of screening though at least 28 days after the end of the study intervention period. Note: Acceptable methods include barrier contraceptives (condoms or diaphragm) with spermicide, intrauterine devices (IUDs), other contraceptives, oral contraceptive pills, and surgical sterilization. Participants unwilling to be counseled about risks related to pregnancy or breastfeeding. 35. Participants actively breastfeeding, who are unwilling to stop breastfeeding for the duration of the trial. 36. Currently incarcerated NOTE RE: History of major adverse cardiovascular event (MACE) or traditional risk factors including smoking: The study team will discuss the risks and benefits of baricitinib and CV events with the participant prior to study entry. NOTE RE: EBV/CMV Seropositivity - We will not exclude participants based on EBV or CMV seropositivity. We already know that serologic evidence suggesting recent EBV reactivation is associated with Long COVID fatigue and high level EBV responses are associated with neurocognitive Long COVID, but that EBV viremia and IgM is rare. We believe there is equipoise with regard to the potential effects of baricitinib on EBV - it is as likely that inflammation drives EBV reactivation, just as EBV can drive inflammation. For this reason, we think this is best studied as a biological factor correlated with outcomes and that we should not deliberately include or exclude people based on this. CMV seropositivity is associated with improved Long COVID outcomes. Results are not required for screening.