Wiring connectors for Bose stereo.

[Slow Build]

I'm trying to figure out the correct way to wire my OEM Radio with Sirius XM with Bose system. When I bought it I tried to connect it to Sirius but it wouldn't work. Today I decided to pull the radio out to see how it was connected. It had obviously been removed before since it had phillips screws mounting the radio. After looking at it I found two connectors that could be plugged into the radio plus a male plug that would accept either connector, but the extra male and female weren't connected. The radio was connected to the female connector with less wires coming into it. Can someone tell me if the other connectors are supposed to plug together? I tried plugging the connector with more wires into the radio but it didn't have power up. I put the other connector into the radio and connected the other two connectors and the radio works that way but I still haven't been able to activate the Sirius. The only way I haven't tried is switching the more wire plug to the radio and the less to the male plug behind the radio. I've searched and found nothing about two of the same type of connector behind the radio. Can someone clue me in?