Keep in mind that LOR DMX is 'non standard' ... meaning they used wires 4,5 instead of wires 1,2 which regular DMX does. So that is why people mention the crossover/conversion cable as a requirement whenever you mix LOR and LYnx, even when both are doing DMX ... they do DMX on different wires. You need to swap wires any time you switch between the LOR and LYNX DMX world, because that DMX data needs to be present on 4,5 for LOR and 1,2 for LYNX.
I think ideally you would not want to use just the LOR USB adaptor to control both, but maybe its possible?
You should be able to detect the LOR controllers, unless you have a lynx unit wired up between the computer LOR USB dongle and the first LOR unit. Normally you flash the LOR controllers with newer firmware that supports DMX ... then the LOR controller will auto-sense whether your sending it LOR protocol or DMX protocal ... so you never really set the controller for DMX per se.
LOR on DMX just gets its address based on its UNIT ID assigned, so UNIT ID=1 is DMX 1-16 ... and UNIT ID=2 is 17-32 and so on.