Yes, the software is capable to support the brands you have mentioned. I've checked as well and it appears that it supports it: Neato, Memorex, and Avery CD labels.
Here is from the developer's website: "Disc Cover supports hundreds of paper layouts from popular manufacturers, including Neato, Memorex, and Avery CD labels."
For additional information, check the following website: http://macdownload.informer.com/disc-cover/
