Yes, the gray cable should go to the Batwing and the black coax should be Satellite. The end you found MUST either be connected to the wall plate labeled ANT and there will be 2 12V wires going to that same control board. From there the output labeled TV goes to the splitter and TV's. If you don't have a wall plate there would need to be a box with a variety of buttons (cable, TV, aux, Sat, etc) which also has 2 12V wires coming into the back. One way or another, there is some connection with a 12V connection allowing the 12V to run up the coax to the Batwing.
