"To dominate the game" means to have complete control and authority over the game, surpassing all opponents and consistently outperforming them. Full definition
We did not dominate the game as much as we would have liked in midfield and he suffered a little bit from that as well. (justarsenal.com)
This squad of players still has the capacity to surprise me and they showed a true fighting spirit — dominating the game from about the 20th minute til the end. (arsenalfcblog.com)
I don't think we've dominated a game for quite some time now. (justarsenal.com)