Both are correct. A more natural sounding way is, “Are you coming over for dinner tonight?”

Both sentences are constructed correctly! In terms of usage, the first sentence is more natural. :)

I would say that both of these are correct though have varying levels of awkwardness. #2 is the most as it is less concise due to "going" and "come" being back-to-back, when really you could pick either of them like in #1. The best alternative to both of these would be, "Are you coming over for dinner?" (this is informal) as it'd be assumed already that it is in the evening. Take care!

The first one better

the first one