The audio would be INPUT from the FC360.
You only support STEREO so you would use the Red + White RCA inputs. This won't work with HDMI.
For example, if you have a DVD player that has COMPOSITE (Yellow) you would run the YELLOW cable to the HDTV, and the RED + White cables to the FC360, then run the audio output of the FC360 into the Red + White under the YELLOW input.
*I can't find EXACT info on your unit so I may be slightly off but this is the basic information.
It should only support a single device as well. No switching between inputs that I can see.