Yea, the controller should have red +, black -, and green or blue wires (signal back to controller) that do the throttle part. Any extra wires are normally for the voltage indicator on the throttle grip body if it has one. The reason it is labeled derailleur is that most of the Chinese bikes don't have throttles from what I can find out and the throttle wires are hooked to the derailleur or a small swing arm that rides the chain line and moves up or down with it's tension in a pedalac setup where the motor is controlled by how how and fast you pedal. You will have two different brake connections. One that hooks to the brake levers and one that operates the brake lights. Just don't use too high a wattage on the brake lights. I've messed up couple of controllers trying to use real auto type brake lights with bulbs. I use the led type lights now and I haven't done that since then.
Lee