I am confused. The OP mentions a TH350 and you guys are talking T5. If its auto there is a white plastic clip on top of the steering column which can be adjusted to operate your lights. The shifter is connected to the linkage to the column. As the column rotates it triggers the reverse lights ( sometimes they are slightly out of adjustment ) it also only allows the key to rotate forward ( to start your car ) in the Park and Neutral position. Yes its the green and blue wires as Gp suggested.
to adjust, put it in reverse ( with the car off and blocked but key on ) and rotate that white clip on the top of the column until the lights come on.