Names for what? The major gun control organizations were opposed to the two GOP measures. The spokesman for the Brady Campaign was on Rachel Maddow last night and called them "horrible." Gabby Giffords's organization opposed them, too.
http://americansforresponsiblesolutions.org/news/
The GOP "background checks" measure would not have expanded the number of gun sellers who had to do background checks and might even have made things worse, permitting greater access to firearms by the mentally ill. Those huge loopholes in the background check system are a major problem, but the NRA does not want them closed. There's a reason why the gun lobby backed the bill. If the NRA wants a gun bill passed, you should ask why. The assault weapons bill from the GOP was a farce and potentially counter-productive. The government would have had to meet a very high standard in court showing the person's involvement in terrorism and would have had to go to court, made its case, and obtained a court ruling all within 72 hours, which people who would be involved in such a process seem to think is not possible. I have heard televised reports that the FBI was concerned that this measure would not have been effective given the constraints and might actually have interfered with terrorist investigations. Feinstein's bill, backed by the FBI, was designed to address these concerns.
When proposed laws offer cover to NRA-controlled politicians, but act in ways that are not productive, or are even countrproductive, there is no good reason to vote for them, especially if they give the false impression that the problem is being addressed and that there is no need for the public to pressure politicians to actually do something. The Democrats already are offering compromises. Many of them want a total ban on assault weapons, reasoning that there is no reason for any regular citizen to have access to weapons of war. They were trying to take an incremental step here to at least decrease access to assault weapons by people on the terrorist watch list.