Orphee is gone but this thread lives on:
There are only two reason I can think of offhand that you would want to back up your 'drive burner' firmware:
(1) some have experienced bad burns after the drive update and they think it is the new drive firmware.
(2) some can 'hack' or patch the drive firmware to recognize more media by using some tools available for patching LiteOn burners.
In any case, you would need a long IDE 40 pin cable to hook up your Windows PC to the LiteON 5xxx series (after opening the top cover, 4 screws in all I think). WinXP should recognize the drive and you can then use the utility:
backup tool: http://upload.cdfreaks.com/ftools/firmware.exe
to back up the drive firmware.
I have not read any confirmation that you can actually rescue a drive or expand your media selection this way after a questionable new drive firmware update. It doesn't really hurt to backup if your are handy with the PC.