How do I turn off my Apple TV with the apple remote app?

Hello, hfwilkesjr.

Thank you for visiting Apple Support Communities.

Here are the steps on how to put your Apple TV in sleep or standby mode.

Hold Play/Pause for five seconds (or go to Settings > Sleep Now)

Put Apple TV in standby mode

Apple TV (2nd and 3rd generation): How to use your Apple remote for Apple TV

http://support.apple.com/kb/HT5822

Cheers,

Jason H.