Evaluating the Safety and Efficacy of DuoCAR20.19.22-D95 in Adult Patients With Relapsed or Refractory B-cell Malignancies

Dose Escalation Cohort (Phase 1) This will have 3 enrollment groups: Group A: Participants with B-ALL (CAR pre-treated or CAR naïve), Group B: Participants with B-NHL (CAR pre-treated), Group C: Participants with B-NHL (CAR naïve) The trial will begin with a phase I dose escalation evaluation in each of the three enrollment groups. Participants will be treated either at dose level 1 and dose level -1 or at dose level 1 and dose level 2 of CAR T cells. This phase will determine the MTD and /or RP2D for the subsequent Phase 2 study. The trial duration for an individual participant is 15 years from DUOCAR20.19.22-D95-CAR T cell infusion. Following infusion, DLT assessments will continue through end of Day 30 visit during Dose Escalation Phase 1. Efficacy and routine safety monitoring for Phase 1 cohort will occur at established protocol-defined intervals through Year 2 or until the start of a new treatment regimen, whichever occurs sooner. The observational long-term follow-up portion of the study will then become operative.