the rear heater does not have a blender motor, so the OP's part is not the one you need.
is the rear heater fan blowing? the rear heater is not linked to the a/c controls. the rear heater control is at the back of the console box. if you have adjusted the rear heater control and the rear heater fan blowing and there's no temp change, try looking under the body and check if there are two rubber hoses. the previous owner could have disconnected the hoses.
here's a link of the front a/c system showing the servo motors (there are supposed to be 3 servomotors but one of them is no longer available):
https://parts.toyotaofdallas.com/aut...omponents-scat