With a manual transmission, traction control is very difficult. Loss of traction is most likely to happen as the clutch is released. At that point, as long as the engine is turning faster than the input shaft of the gearbox, then the wheel torque is controlled by the clutch.
If the driver released the clutch too quickly, and the driving wheel(s) lose traction, reducing the engine power will not immediately reduce the torque. It will only slow the engine, and only when the engine speed matches the road speed will there be less torque. By that time the wheel(s) will be slipping a lot, will have to slow down a lot before they can grip.
One of our cars has traction control, and if I get wheel spin on starting, all the traction control does is slow the engine so much that the turbocharger stops working, and I have far less acceleration than expected. I then have to press the clutch again, and let the engine speed up. It is all far worse than a moment of wheel spin in a front wheel drive car.
If you are going to try to get traction control to work with manual transmission, you either have to take control of the clutch, or just don't bother if the clutch is slipping. An engine speed sensor as well as wheel speeds would tell you if the clutch is slipping.
Once the clutch is not slipping, traction control can work by reducing engine power.