Hope it isn't too late for a reply to be useful, although you posted a very similar question a few months back to which I've already replied. If you found my answer insufficient it would have been better to reply to the existing thread with follow up questions that others or I could answer as opposed to creating a new thread with a nearly identical question.
In any event the current forum is probably not the right one--this question probably belongs in one of the green card forums--and you are sending a conflicting message by saying that there was no law enforcement involved but posting your question in the criminal convictions section. It is a civil matter and should have no effect on green card processing. Bring along whatever paperwork you have regarding the restraining order just in case they ask but there is no reason to go out of your way to prove it was dismissed--this isn't a criminal matter whose disposition needs to be proven.
Who is "we" in the "we applied for 'request for dismissal'"? If you mean you and your lawyer, and your lawyer attended the restraining order hearing in your absence where the "request for dismissal" was granted, you should be able to get a copy of the paperwork from your lawyer. I trust that "we" does mean you and your lawyer and not you and the person who got the order against you--because as long as the ex parte order was in effect, you shouldn't have had any contact with that person to take any legal actions together--except via a lawyer. I'm confused by how you formally petitioned the court to do something and you only find out about the outcome via their online case update--online case update usually isn't the primary means by which courts communicate with parties to a dispute.
I'm confused also about the tag "divorce" with which you tagged this message. In an earlier post from 2014 or so you said you were applying for your green card via sponsorship by your US citizen spouse sponsor. If you and your spouse who is sponsoring you are now getting a divorce, that could certainly create problems with getting a green card restraining order or not.
The bottom line, though, is that a restraining order by itself has no bearing on your green card process and there really isn't anything you need to prove. It is a bit of a red flag because restraining orders often--but not always--go hand in hand with domestic violence criminal charges which is a very serious matter from an immigration perspective. So they may take a bit more time to do a bit more thorough background check to satisfy themselves that in your case there were no associated criminal charges. But if, in fact, there were no criminal charges or arrests, you should be fine--you don't have anything to prove and just need to be patient while they sort through your situation.
