The AVR should have a hdmi and audio pass through option in settings, i.e., the AVR can be in standby and it will still send the last input it was set to (your firestick plugged into the avr input to tv).
Not sure about entry level junk avrs.....
What's Wrong?
I use an Amazon Firestick in one of my AV systems and cannot figure out how to get audio directly to the TV so that I don't have to use the AVR for audio when I don't want to (mostly news programs). Because the TV is wall-mounted, the only way to connect the Firestick directly to an HDMI input was to get a 90-degree HDMI adapter, which I thought would take care of the problem. I am getting crystal-clear video, but no audio at all, period. I have the Toslink output on the TV connected to the AVR, and everything's crickets. Any suggestions on this dilemma?