It appears to be a geared motor, and may have a 9 pin quick disconnect cable? It's likely that other motors will fit, except the spoke length might be different, which is the best reason to get an exact replacement.
I'm musing on how the motor can be fried by bad wiring, and whether you will have the same issues with a motor replacement. Did you repair the wiring already? Can you say which wires were shorted out?
I think it would be hard to melt a motor winding with a shorted wire on one of the three phase controls. This would be difficult to diagnose anyway. I don't know how to do it.
If the Dapu has them, and I think it does, the magnetic sensors run on 5 volts, and if the motor power got onto the wires, they could be blown up. There's ways to test for that, and some people are able to open a motor and replace them.