I use CloneCD for CD+Gs, works like a charm. It has a 21-day fully functional trial, and will work with your LiteOn, so give it a go: www.slysoft.com
Edit: However, if you haven’t used your LiteOn to burn CD+Gs before, you may like to check it actually supports burning them. According to Nero InfoTool, my own LH-20A1H doesn’t support them, but give it a go anyway and see if it works.
If not, you may have to purchase a drive like a Samsung or Optiarc, which do support reading and burning of CD+Gs.