To start will app updates are typically applied automatically but in the event they aren't you can update the app manually as follows
1. From the homescreen of your FIreTV select the "OAN Live" App.
2. Press the button with the 3 horizontal lines on it on your remote to get the more info option.
3. Press the select button on the remote to go to the more info details for the app.
4. If there was pending upgrade for the "OAN Live" where it currently say open in the below screen shot it would say upgrade and you could click the the upgrade button to start the upgrade process for the app.