Are the rear lamps regular dual-filament lamps like 1034 or 1157? Or are they LED lamps?
but the back are both flashing at the same time in either direction. One side seams brighter than the other for the side that it should be on.
Do these lines describe the problem?
If signaling for a left turn, the left rear turn lamp is flashing bright and the right rear turn lamp is flashing dimmer?
If signaling for a right turn, the right rear turn lamp is flashing bright and the left rear turn lamp is flashing dimmer?
Sorry to ask so many questions, but it is better to know as much as we can before getting into real troubleshooting.
One more, 6 volt or 12?