Unfortunately I do not have any wiring diagrams for any of the Rad2Go scooters. I viewed your attached photo and the label on the controller indicates how to wire it, although it may have been labeled incorrectly by the factory however that is not very likely. If the controller is labeled correctly then here is how it should be wired.
If the battery pack was wired to the controller correctly then there is a chance that the controller could be faulty which caused it or the wires going to it to smoke. Hopefully this will help. Please let me know how it goes or if you have any questions.
I have a Rad2Go scooter the just underwent a $100 battery replacement. Thought I had all wires exact but began to see smoke when reconnected wires from battery to controller. Anyone out there have a wiring diagram or provide a pic of the correct wiring?
Attached is the board in my scooter.