My guess is it's not a "remote control" exactly, but a HID device. In other words, it's a very limited keyboard. Get to a place outside of LMCE, ctrl-alt-F2 for example, and hit a couple number keys. If numbers show up, you have a HID type remote and you're probably best off just giving up on it and getting an actual MS MCE remote and a USBUIRT receiver/transmitter.
Another tell tale sign, if you can hit a button and use it as a mouse it's a HID device. I have one of those HID remotes (a bit different looking than yours), and it has a key labeled "toggle" or something similar to that. I fought with it a while then gave up, just not worth the trouble.
If it really is a MS MCE remote, sending the same IR codes as an actual MS MCE remote, you're best bet is to buy a USBUIRT. It's plug and play and by default adds an MS MCE remote, so just plug it in and any real MS MCE remote just works, no config necessary.