This is a parody/crossover with the vs. series of Gundam games. More specifically, the Gundam Vs. Zeta Gundam instalment.
How can I tell? Well, from the "battle points" at the top, the "bridge bunny" communication window in the upper right, along with the weapons in the lower right, and the "awaken gauge" (available only in the Gundam vs. Zeta Gundam instalment).
Not a bad game, that. Probably one of the best of Gundam games at this time.