If the two connectors are reversed, I would expect the pods to continuously cycle up and down when the lights are on. Just like you are seeing.
My old wiring diagram (should be applicable to your '81) shows for both pods:
GRY/YLW from car connects to GRY from motor.
GRY/BLK from car connects to BLK from motor.
GRN from car connects to GRN from motor.
GRN/WHT from car connects to GRN/BLK from motor.
My '85 has the same wire colors (the GRY from the motor is hard to see in the photo), at least in the right pod:
I would reconnect all the connectors according to the color code, then remove both the "motor" relays in the fuse box. Then measure voltage at each of the "motor" relay sockets between terminal 87 and ground. There should be battery voltage at all times, regardless of ignition switch and light switch.
Then measure continuity between ground and terminal 86 of each of the two "motor" relays. There should be continuity.
Then measure continuity between ground and terminal 87a of each of the two "motor" relays. There should be continuity.
Report your findings.