You need a Linux driver for this device which you can either build yourself, or expect RPi developers to build for you (which happens when the driver is accepted in mainline kernel). Currently there's no such driver for the MCT Trigger 1+ chipset.
Exagear works by emulating x86 userland around an ARM kernel. It cannot insert an x86 kernel driver into an ARM kernel. Incidentally, installing drivers in Wine is not how you can use a Windows driver in Linux, you need something like NdisWrapper to do the trick. But, as I mentioned, the trick will not work on ARM. Also see this related thread.
Look into USB 2.0 DisplayLink devices, specifically the ones based on DL-1XX chipset. AFAIK those have a mainline driver called
udl. You should check if it works on the RPi before you buy though.