Do you mean, has a Republican state government ever been replaced by a Democratic majority? Not in recent history…at least as far as I can remember.

Or do you mean, has one state ever tried to sue another state, over the way they manage their own election infrastructure? The answer to that would be “no”. They can’t. Each state controls its own elections.

Republican states have recently tried to sue Democratic states for making it too easy for people to vote in Federal elections…but not the other way around. Those lawsuits never went to court, due to the fact that they had no legal merit.