If the carriages will move down but just vibrate when you try to move them up, there are two possibilities:
Bad connection in the wiring. If just one tower had this problem, then this would most likely be the reason.
Motor current set too low. What current did you set in M906, and what is the rated current of the motors?
Positive values in the G1 S2 commands should move the carriages up, negative down. So you may need to reverse the motor directions in your M569 commands.