This phase II trial studies the effect of zanubrutinib and CAR T-cell therapy in treating patients with aggressive B-cell non-Hodgkin's lymphoma or transformed indolent B-cell lymphoma that has come back (recurrent) or does not respond to treatment (refractory). Zanubrutinib may stop the growth of cancer cells by blocking some of the enzymes needed for cell growth. T cells are infection fighting blood cells that can kill tumor cells. The T cells given in this study will come from the patient and will have a new gene put in them that makes them able to recognize CAR, a protein on the surface of cancer cells. These CAR-specific T cells may help the body's immune system identify and kill cancer cells. Giving zanubrutinib together with CAR T-cell therapy may kill more cancer cells.
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Change in 6-month complete response rates
Timeframe: At 6 months from initiation of maintenance zanubrutinib treatment