Depends. Cannot really tell what that is hooked up to. I am guessing one of those is the CAN bus. With that unplugged, nothing should work, like you are seeing. Here are a couple of prints from the Chilton Manual.
In all honesty, I am still confused. I can tell each of your plugs have a wire with orange on them, but nothing on the print shows two, two pin connectors. Best guess is those are the two wires that talk to the door control module.