It looks like you arrived at this position with the moves
[FEN ""]
[StartPly "10"]
1. e4 e5 2. d4 exd4 3. Qxd4 Nc6 4. Qd1 Nf6 5. Bg5 Bc5
White is already worse here because you're behind in development. There's no reason to have your queen chased around like that; therefore, it sees very little play and the position does not have a name. If you want to play aggressively, play 3. c3 instead (the Danish Gambit), and there are plenty of aggressive options after 2. Nf3 as well. This question lists more options you might be interested in.
Right now, you should concentrate on completing your development, e.g. with 6. Nc3. Playing aggressive moves in this very position will for sure lead to a quick defeat.