I suddenly had this problem: TCA Q Eng 1&2 just stopped working in the middle of a flight.
This happened twice and after second time I had problems to connect throttle quadrant again. I had a Windows notice something like USB device is not recognised
Finally I found a solution.
There was only one driver installed for the throttle quadrant and it was HID-compliant game controller driver (in the picture: 1).
For T.A320 Pilot joystick there were 2 drivers installed, HID-compliant game controller driver as well but also driver called T.A320 Pilot made by Guillemot Corporation.
I could not install a driver for the throttle quadrant right away. But when I first removed the HID compliant game controller driver the TCA Q-Eng 1&2 driver was installed (in picture: 2).
Also the HID driver appeared again after installation of the other driver.
Problem solved!
