Verizon has started rolling out the Marshmallow update to Samsung's 8-inch Galaxy Tab E units on its network. The update bumps the software version to T377VVRU1BPD6 and brings Android version 6.0.1. Aside from the usual Marshmallow goodies, such as Doze, Google Now on Tap, and redesigned app permissions, the update also includes the Android security patch for the month of June. As is usually the case with OTA roll-outs, it may take some time for the update to hit your device. Meanwhile, if you feel impatient, you can manually check for the update by heading to your tablet's Settings...
Source: http://www.gsmarena.com/verizon_galaxy_tab_e_80_starts_getting_marshmallow-news-19146.php
