This randomized phase II trial studies how well treosulfan and fludarabine phosphate, with or without total body irradiation before donor stem cell transplant works in treating patients with myelodysplastic syndrome or acute myeloid leukemia. Giving chemotherapy, such as treosulfan and fludarabine phosphate, and total-body irradiation before a donor stem cell transplant helps stop the growth of cancer cells. It may also stop the patient's immune system from rejecting the donor's stem cells. The donated stem cells may replace the patient's immune cells and help destroy any remaining cancer cells (graft-versus-tumor effect). Sometimes the transplanted cells from a donor can also make an immune response against the body's normal cells. Giving tacrolimus before and mycophenolate mofetil after the transplant may stop this from happening.
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Number of Participants That Did Not Progress Within 6 Months
Timeframe: At 6 months post-transplant