This is a single-arm open-label phase I/II study to determine the relative superiority of αCD19-TCRζ-CD28 and αCD19-TCRζ-CD137 CAR-T Cells in safety, efficacy and engraftment potential in patients with CD19+ B-lineage leukemia and lymphoma. Recently, cancer immunotherapy, treatments aiming to arm patients with immunity specifically against cancer cells, has emerged as a promising therapeutic strategy. Clinical trials utilizing CARs against B cell malignancies have demonstrated remarkable potential. In this trial, all subjects will be competitively infused with αCD19-TCRz-CD28 and αCD19-TCRz-CD137 CAR-T cells in equal number to test a hypothesis that CD137-costimulation can promote the persistence and engraftment of CAR-T cells and this superiority can lead to improved progression-free survival.