Guess I should have asked first, but do you want LT firmware on your LiteOn drive to play backups? Or do you just want stock firmware on it to play only originals?
If playing any backups:
In Jungle Flasher on the first tab... the top box is where you load your key that you got from the BenQ drive. You could also dump the entire firmware from it if you want. Either way, top box is for BenQ files that you obtained FROM your broken BenQ drive. Like I said, you need that information off your broken drive for this to work.
Bottom box is where you load the LT firmware. Get the LT firmware from here:
http://www.mediafire.com/?mwimwnywwcd . Unrar it and delete everything but "ix-lt-748.bin". That is the LT firmware you want for your particular drive. That is the file you open into the bottom box in Jungle Flasher. Then you click "spoof source to target" and it will copy over the key from BenQ to LiteOn. Make SURE to click "save as" and save it named as whatever you want. Then close Jungle Flasher, open it back up, load that saved firmware you now have in "target" area on first tab, and follow instructions on flashing it to your drive in the tutorial I mentioned in last post.
If playing ONLY originals:
Follow same instructions, but instead of the LT firmware use "74850C.bin" from the same firmware package I linked to, it's in the "liteon orig" folder.
Hope that clears up anything, going to bed so if you have more questions I'll check back in the morning. Good luck.
Edit: added couple quick things