Interesting, as it seems to have a heck of a lot of connections for a sensorless controller.
The power in cables are easy, presumably the red/black Andersons. The throttle looks to be the three small yellow, red, green wires. The two brown wires with the black connectors are most probably the brake inhibit wires. The motor phase connections look to be the yellow, green, blue Andersons, but the really suspicious looking wires are the ones (five?) going in to the white multipin connector. These look to be Hall sensor connections to me, which doesn't jive with this controller being sensorless.
There is the possibility that this isn't a true sensorless controller, but perhaps a pedal-first controller. Pedal-first controllers don't need the Hall sensors, because they sense the motor back EMF to sync up the phase outputs, but they won't work with a geared freewheel motor like the Tongxin, as the motor needs to spin up under pedal-power before the controller will provide power. No matter how much you pedal a Tongxin, the chances are that the motor won't spin, which means a pedal-first controller may not work.
Jeremy