Installation of the SPD-24500R controller with reverse would require removing the old controller and wiring in the new one. What parts the wires go to on the scooter such as the motor, power switch, and throttle would need to be determined in order to install the new controller. It is usually fairly easy to determine where these wires go to however sometimes the wires going to the handlebars can present a challenge because they may be in a harness that is bundled together.
Here is a link to the SPD-24500R wiring directions: http://www.electricscooterparts.com/hookup/SPD-24500R-V4.htm
Frederick Massey