Objective: to assess feasibility, safety of ex vivo generated MB-CART2219.1 in patients with relapsed or refractory CD19 and/or CD22 positive B cell malignancies. Determination of the recommended dose of MB-CART-CD19CD22, determined on the basis of the maximum tolerated dose, defined as the highest dose level of the 2-3 dose levels tested at which <33% of patients experience DLT until d+28 after infusion of MBCART2219.1 and on the basis of the safety and efficacy data. Safety and toxicity assessment of MB-CART2219.1 per adverse events reporting classified according to CTCAE version 5.0 defined by <33% of patients experiencing DLT, or maximal administered dose. The Trial uses two separate disease and age specific cohorts for dose escalation: cohort I (Lymphoma incl. CLL, adults) and cohort II (ALL, children). For each cohort in using the standard 3+3 design, three dose levels will be assessed. Feasibility will be defined as successful treatment without major deviation from the protocol