you keep waiting for a "magic scanner bullet"... it is unlikely to happen. I keep telling you to get a meter and do some voltage and resistance measurements at the connector. You are likely to find that you have little or none where you should. The thing only has 6 wires which involves 3 circuits... a motor drive, a position sensor and a "lock mechanism". Since you "appear" to indicate that your hear the motor, that leaves the position sensor circuit as the only one that you need to check. I do believe I have told you that in another thread. Anyway, good luck, I hope that you find the issue.
Additionally, doing continuity on a disconnected cable only tells you that the copper between the connectors "may be OK" depending on how you actually carried out the test... it doesn't tell you that it can complete a connection thru the connector to something on the other end ... why... because the making of the connector may have an issue such that electrically, it does not allow the completed circuit to work.
You likely have further problems with the state of the drive train... since you indicate that you can't move forward or backward... at the present time???? IF you lift both front wheels off the ground, you are saying neither can be turned by hand. :-(((((