Welcome to the forum
Not sure who made the DVD-ROM drive either (the other drive is obviously a LiteOn CD burner) - I can't tell by the firmware revision (some models are easy to identify by that, such as some BenQ models), so the only way may be to pull the drive and have a look at the sticker on it.
You don't go into much detail about the problem you're experiencing - whether the problem is with CDs, DVDs, or both.
You also don't say which Operating System you're using, but if you're using Windows, are there any yellow exclamation marks next to the drive in Device Manager?
If you give a few more details, hopefully we can help.