how to use wireless infrared repeater on an infrared receiver to control a motor?

ok, first of all...i'm not sure of the exact difference between an "infrared repeater" or "infrared extender" but it's function is to do what's described here in this link:
https://www.audioholics.com/tweaks/connecting-your-system/how-ir-repeater-systems-work
or in this link as well:
https://www.audioholics.com/tweaks/connecting-your-system/how-ir-repeater-systems-work

What I want to do is control a DC motor interfaced with an infrared receiver by using an infrared transmitter that flashes a modulated beam of 38-42 kHz in another room to the receiver. It's the same as saying you want to control your television (changing volume/channel or turning it on/off) through your remote control by being in another room. Problem is I can't find any repeaters that would do this for a DC motor. I am planning on borrowing the techniques described in this link to recreate the exact replica in order to make my own infrared transmitter / receiver combination :
https://www.instructables.com/id/IR-Remote-Control-of-PICAXE-Micro/
OR
**broken link removed**

so I have chosen a picaxe microcontroller over basic stamp microcontroller but I'm not sure which one is more easier to implement. But the goal is the same: to use an infrared transmitter (which could be an existing sony remote control) to control a DC motor that is interfaced with an infrared receiver placed in another room, without the use of any wires. Is this possible?

The repeater is incidental in my view; the real work will be getting the receiver to interface with the motor.

The motor would be controlled by a H-bridge, if fwd/rev, or by maybe a transistor or mosfet (if one direction). That in turn would be switched on, off, rev.... by a controller (pic?), which would be controlled by your IR-Rec, which would be sent information by your remote/repeater. Its pretty straight-foward, check out at the beginning of the microcontroler section and have fun.