A Study of JNJ-90014496 in Participants With B-Cell Non-Hodgkin Lymphoma

Inclusion Criteria: * Participant must be greater than or equal to (\>=) 18 years of age, at the time of signing informed consent * Tumor must be histologically confirmed cluster of differentiation (CD)19 and/or CD20 positive * Must meet the indications for each subtype in Phase 1b as specified in protocol and Phase 2 participants must have following: Diagnosis of Large B-cell lymphoma (LBCL), Follicular large B-cell lymphoma (FLBCL), or transformation of indolent lymphoma; Received at least 2 prior lines of systemic therapy; Relapsed or refractory disease defined as 1 or more of the following: Stable disease or Progressive disease (PD) as best response to most recent anti-lymphoma therapy OR disease progression or recurrence after a partial response (PR) or complete response (CR) to most recent anti lymphoma therapy; cohort specific requirements as mentioned in protocol * Measurable disease as defined by Lugano 2014 classification * Eastern cooperative oncology group (ECOG) performance status of 0 to 2 Exclusion Criteria: * History of symptomatic deep vein thrombosis or pulmonary embolism within six months of apheresis (line associated deep vein thrombosis is allowed) * History of stroke, unstable angina, myocardial infarction, congestive heart failure New York Heart Association (NYHA) Class III or IV, severe cardiomyopathy or ventricular arrhythmia requiring medication or mechanical control within 6 months of apheresis * History of a seizure disorder, dementia, cerebellar disease or neurodegenerative disorder * Known history or prior diagnosis of optic neuritis or other immunologic or inflammatory disease affecting the central nervous system * Current active liver or biliary disease (except for Gilbert's syndrome or asymptomatic gallstones) * Evidence of active viral or bacterial infection requiring systemic antimicrobial therapy, or uncontrolled systemic fungal infection * Diagnosis of Human herpes virus (HHV) 8-positive DLBCL or T cell/histiocyte-rich large B-cell lymphoma or Burkitt and high-grade B-cell lymphoma with 11q aberrations (previously Burkitt-like lymphoma) or Richter's transformation or Lymphomatoid granulomatosis or Plasmablastic lymphoma or Waldenstrom's Macroglobulinemia * Any prior solid organ or allogeneic stem cell transplantation * Autologous stem cell transplant within 12 weeks of apheresis; Prior CAR-T cell therapy within 12 weeks of apheresis