Unless you don't care what happens, you shouldn't just guess what the kit needs and connect it to something and hope; you could start a fire in the wiring or electronics, or blow up your controller, battery, etc.
Same thing for wiring polarity, current draw, etc.
If the light kit doesn't have instructions that tell you these things, and you can't get that info from the seller, you'll either have to disassemble it to reverse engineer it to find out what you need to know (if you know enough electronics to figure out how it works and how much current it will take and what voltage it needs to run), or return it and buy a kit that does have that info, and is compatible with the stuff you have.
If you have enough money to replace the controller, light kit, battery, wiring, etc., when it gets damaged due to a simple lack of information...you could just spend that money on a kit that has the info instead.