Allogenic hematopoietic stem cell transplant (Allo-HSCT) is routinely used for treatment of aggressive hematological malignancies. The biological foundation of allo-HSCT is the graft-versus-leukemia (GVL) effect, which is primarily mediated by donor T cells present in the graft and is able to eradicate malignant B cells either CD19+ or CD19-. Relapse following an allo-HSCT remains a major challenge in the treatment of B-ALL. CD19-directed CAR-T cell therapy has shown promising results for the treatment of relapsed or refractory B-cell malignancies; however, a subset of patients relapse due to the loss of CD19 in tumor cells. Co-infusion of donor-derived CD19/22 bispecific CAR-T cells or CD19-directed CAR-T cells and donor-derived-HSCT has the potential to combine the CAR-T cell mediated targeted elimination of CD19 expressing B cells with GVL effect, which could have clear advantages in reducing the risk of relapse and the evolution of CD19- escape variants or clonally related malignancies in other lineages. Therefore, a complete and durable tumor responses induced by this immunotherapy could be expected.

1. PRIMARY OBJECTIVES:

   1. To evaluate the feasibility and safety of donor-derived HSCT following donor-derived CD19/22 bispecific CAR-T cells or CD19-directed CAR-T cells in patients with relapsed or refractory leukemia.
   2. To evaluate the duration of in vivo persistence of adoptively transferred CAR-T cells, and the phenotype of persisting T cells. Real Time polymerase chain receptor (RT-PCR) and Flow cytometry(FCM) analysis of PB,BM will be used to detect and quantify survival of infused allo-CAR-T cells over time.
   3. To evaluate the donor chimerism after co-infusion of donor-derived CD19/22 bispecific CAR-T cells or CD19-directed CAR-T cells and donor-derived-HSCT

2. SECONDARY OBJECTIVES:

   1. For patients with detectable disease, measure anti-tumor response due to co-infusion of donor-derived CD19/22 bispecific CAR-T cells or CD19-directed CAR-T cells and donor-derived-HSCT.

The allo-CAR-T cells will be infused in a fractionated manner, 1/3 on day 0, 2/3 on day 1.The allo-HSCT will be infused on day 2.

Inclusion Criteria:

1. Male or female participant
2. 12 Years to 60 Years
3. Patient with relapsed or refractory B-cell leukemia or lymphoma
4. Estimated life expectancy ≥ 12 weeks (according to investigator's judgement)
5. Eastern Cooperative Oncology Group (ECOG) performance status ≤ 1
6. Adequate organ function

Exclusion Criteria:

1. Prior malignancy, except carcinoma in situ of the skin or cervix treated with curative intent and with no evidence of active disease
2. Diagnosis of Burkitt's leukemia/lymphoma according to WHO classification or chronic myelogenous leukemia lymphoid blast crisis
3. Richter's syndrome
4. Presence of Grade II-IV (Glucksberg) or B-D (IBMTR) acute or extensive chronic GVHD at the time of screening
5. Subjects with any autoimmune disease or any immune deficiency disease or other disease in need of immunosuppressive therapy
6. Severe active infection (uncomplicated urinary tract infections, bacterial pharyngitis is allowed), Prophylactic antibiotic, antiviral and antifungal treatment is permissible
7. Active hepatitis B, active hepatitis C, or any human immunodeficiency virus (HIV) infection at the time of screening
8. Patient has an investigational medicinal product within the last 30 days prior to screening
9. Previous treatment with investigational gene or cell therapy medicine products
10. Concurrent use of systemic steroids. Recent or current use of inhaled steroids is not exclusionary
11. Pregnant or nursing women