While the pic of the battery connection looks promising with no data wire connections obvious, its not the controller,
thats either a silver oblong box, or perhaps a pcb built into the back of the battery mount pictured above?
Either way it will have a number of wires connecting to the motor and sensors on the bike and matching the connection type used will make alternative selection easier.
unfortunately some branded bikes use custom connectors that throw hurdles up and may require soldering skills to overcome, fingers crossed not in your case.