This episode parodies many stereotypes of giant robot anime, including: the fact that pilots must scream the names of the robot's attacks in order to activate them; the multiple split screen (in this case the other people in the split screen are totally unrelated to Sasshi and Arumi!); the old professor that follows the battle in his secret base/lab and so on.
Another Evangelion reference is when Mune-Mune is possessed by the soul of the defeated giant monster: the scene is very similar to when the angel Armisael takes possess of Rei's Unit-00. Both Mune and Rei have bulging veins all over their bodies while possessed.