I don't understand what you did, but the controller gets it's power from the LED control pane. With that burnt mosfet, you can't switch on the controller. The battery wires connect to the controller, but they don't actually power it. thhere's a branch on the inside of the controller that goes up to the switch on the LED panel, then back again.
You can run the controller without the panel by bridging the red to the pink wire, but I suspect that you have a short somewhere, so I wouldn't advise that without taking precautions. Maybe use a 0.5 amp fuse between them. if it blows, you know you have a short.