Your pic of the motor cable connector isn't a std pin layout, so if you are going to think about changing the controller and battery, you will need to cypher the 9 pin outs and what colour goes where. You would have to reuse the main motor cable to the controller and either solder or via connection block wire to the new controller motor wires. A clearer pic of the 9 motor wires at the controller end would help.
The three phase wires speak for themselves and should be Blue, Green & Yellow.
The other 6 thinner hall sensor wires are often not to bad but some brands may use different colours, typically Red & Black are the 5v & Gnd supply, White a speed wire and the other 3 are the main hall and are usually Blue, Green & Yellow as well.
The three phase wires speak for themselves and should be Blue, Green & Yellow.
The other 6 thinner hall sensor wires are often not to bad but some brands may use different colours, typically Red & Black are the 5v & Gnd supply, White a speed wire and the other 3 are the main hall and are usually Blue, Green & Yellow as well.