Fecal Microbiome Transplant to Remodel Intestinal Microbiota for Patients With Relapsed or Refractory Lymphoma With Exposure to High-Risk Antibiotics Who Are Receiving Chimeric Antigen Receptor T Cells

Inclusion Criteria: * Documented informed consent of the participant and/or legally authorized representative. * Assent, when appropriate, will be obtained per institutional guidelines * Agreement to allow the use of archival tissue from diagnostic tumor biopsies * If unavailable, exceptions may be granted with study principal investigator (PI) approval * Age: ≥ 18 years * Karnofsky performance status (KPS) ≥ 60 * Confirmed diagnosis of relapsed/refractory CD19 B-cell lymphomas of diffuse large B cell lymphoma (DLBCL), transformed follicular lymphoma (tFL), or double-hit lymphoma (DHL) and scheduled to receive commercial CAR T treatment of YESCARTA ® for their diagnosis * Fully recovered from the acute toxic effects (except alopecia) to ≤ grade 1 to prior anti-cancer therapy * Exposure to high-risk antibiotics within 90 days of consent. High-risk broad-spectrum antibiotics include carbapenems (meropenem, imipenem, doripenem), anti-pseudomonal antibiotics (cefepime, piperacillin-tazobactam, ceftazidime) or anaerobic antibiotics including metronidazole, clindamycin, amoxicillin-sulbactam, and vancomycin * Clinical laboratory and organ function criteria per standard of care to CAR T patients at City of hope: (To be performed within 30 days prior to leukapheresis) * Seronegative for HIV antigen (Ag)/antibody (Ab) combo, hepatitis C virus (HCV), active hepatitis B virus (HBV) (surface antigen negative) * HIV-infected patients on effective anti-retroviral therapy with undetectable viral load within 6 months are eligible for this trial. * Meets other institutional and federal requirements for infectious disease titer requirements * Note: Infectious disease testing to be performed within 28 days prior to day 1 of protocol therapy * Women of childbearing potential (WOCBP): negative urine or serum pregnancy test * If the urine test is positive or cannot be confirmed as negative, a serum pregnancy test will be required * Agreement by females and males of childbearing potential\* to use an effective method of birth control or abstain from heterosexual activity for the course of the study through at least 12 months after the last dose of protocol therapy. * Childbearing potential defined as not being surgically sterilized (men and women) or have not been free from menses for \> 1 year (women only) Exclusion Criteria: * Major surgery in 4 months preceding enrollment * No live vaccine in 30 days prior to enrollment * Inability to swallow capsules or history of disorder with Inability to swallow FMT capsules * History of inflammatory bowel disorder, irritable bowel disorder * Severe food allergies * History of chronic aspiration * History of behavioral disorders including substance abuse disorders which per discretion of primary investigator will interfere with safe conduct and compliance to study treatment * History neurocognitive disorder which per discretion of primary investigator will interfere with safe conduct and compliance to study treatment * Diagnosis of primary immunodeficiency * Active second malignancy requiring treatment except non-melanoma skin cancer or carcinoma in situ-cervix, bladder or to non-metastatic prostate cancer which does not require treatment * Uncontrolled bacterial, fungal, or viral infection confirmed using clinical, laboratory and radiological findings requiring administration of intravenously (IV) antimicrobials * Any clinical, laboratory or radiologic findings per discretion of primary investigator will interfere with safe conduct of study treatment and compliance with study procedures * Any other condition that would, in the Investigator's judgment, contraindicate the patient's participation in the clinical study due to safety concerns with clinical study procedures * Prospective participants who, in the opinion of the investigator, may not be able to comply with all study procedures (including compliance issues related to feasibility/logistics)