
Samsung Galaxy Tab E 9.6
The latest firmware for Samsung Galaxy Tab E 9.6 (SM-T561Y) is T561YXXU0AQA1 with Android 4.4.4 (KitKat), released on January 12, 2017 for 3 regions (CSC). Every official firmware build for SM-T561Y, newest first: one row per build with all regions (CSC) that received it.
Each firmware build has its own page at https://samfirm.shop/build/{PDA}, where {PDA} is the build number from the list above. Example: https://samfirm.shop/build/T561YXXU0AQA1
All 5 builds in our database run Android 4.4.4 (KitKat). The newest build, T561YXXU0AQA1, was released on January 12, 2017. No new build has appeared for 119 months, so regular updates for this model have most likely ended.
Specifications of SM-T561, a regional variant of the same device. Chipset and SIM lines are left out: they can differ by region.

SM-T561M

SM-T562

SM-T550X

SM-T575

SM-T570
The newest firmware for SM-T561Y runs Android 4.4.4 (KitKat): build T561YXXU0AQA1, released on January 12, 2017.
The latest build for SM-T561Y, T561YXXU0AQA1, was released on January 12, 2017 (9 years ago).
SM-T561Y has had no new firmware for 119 months, so regular updates have most likely ended.
Yes, all firmware files for SM-T561Y are 100% official, original, and obtained directly from Samsung servers.
To flash SM-T561Y, you need to download the appropriate firmware, put your device into Download Mode, and use the Odin tool to load the BL, AP, CP, and CSC files.
Downgrading is only possible if the bootloader version (binary bit) of the old firmware matches the current one. Always check the binary version before flashing SM-T561Y.