I am not sure of your question? I run all of my sources such as my direct tv receiver and my dvd player first to my AVR via hdmi cables. I then run a single hdmi cable to my tv for picture only (not sound--I do not use my tv speakers, they are turned off). From my receiver, I then run speaker wires from there to my speakers. This way I can go into my AVR menu to regulate my speaker sound, i.e. stereo or 5.1 surround sound, etc.
Now, if you first run your hdmi cable from your source (i.e. direct tv receiver) straight to the tv, completely bypassing the AVR, then, run a cable from the tv out to the AVR, then I am not real sure what you will get? I have read that you can do this, but, the audio output is a two channel (stereo) only signal. You will still get audio to your speakers but it will not be a "discrete" 5.1 signal.
There are other options using optical (optical is audio only) cables where you can split video and the audio sources.
Hopefully, someone can answer your question with absolute clarification if I did not.