Reverse Lights Not Working

I think what he means is that it doesn't matter which way you push the connector on, it is simply completing the circuit from one side to the other. The gear selector in "R" position closes the circuit in the neutral safety (reverse) switch. That's why someone earlier suggested that you can by-pass the switch completely by crossing over the connector from one female terminal to the other (on the wire harness). If you get backup lights, then the switch (or gizmo inside transmission) is faulty.