Everything connects through the AVRS (ie a/v receiver), then from there you send the signal from the HDMI out to the tv through HDMI over Ethernet. If you wish to control everything, do it through a IR over RF remote. Easy Peasy, Lemon Squeezy.
Now ask yourself this question. If you connect everything through the AVRS, why would you need to send a audio back down the line, unless you want to monitor what is going upstream, which would not happen in your situation.