I’d say the problem lies in the burner’s firmware - and what 16x discs, if any, it has support for. Burning software won’t be the culprit here.
The Sony discs are usually very good. Don’t know if you’ve updated your Litey’s firmware, but updating to the latest for that model could help there.
Personally, with burners the price they are now, I’d get a new one. If you update to the very latest Nero 6 revision (can’t recall the exact version number offhand), then a new burner should be supported.
If not, there are plenty of free options that will do nearly anything you want