The SM-T560 originally shipped with Android 5.0.2 Lollipop. Later updates brought it to 6.0.1 Marshmallow. Version 3.0.2-1 of TWRP is the sweet spot:
Newer TWRP builds (3.3.0, 3.4.0, etc.) often drop legacy support for older eMMC controllers. Users on XDA Developers reported that TWRP 3.2.x and above caused:
Version 3.0.2-1 is the last build that fully respects the SM-T560’s original partition table and kernel interfaces. twrp3021smt560tar full
You might wonder, "Can’t I just use the official TWRP app or a newer version?" For the SM-T560, the answer is no.
Samsung devices with Exynos or Snapdragon 410 processors (like the SM-T560) do not have easily unlockable bootloaders via fastboot. They rely on Odin (Download Mode). Odin exclusively accepts .tar archives. If you try to flash a standard .img file via Odin, it will fail. This file is the correctly packaged version. The SM-T560 originally shipped with Android 5
After flashing, never take an Over-the-Air (OTA) update from Samsung. The OTA will re-lock your bootloader and overwrite TWRP. Instead, stay within the custom ROM community.
Now that you have a custom recovery, you have unlocked the true potential of the Galaxy Tab A 9.7". Version 3
The SM-T560 has excellent legacy support via LineageOS. You can install:
Procedure: