This can be done on any mode and requires 4 players to begin.
The map names are:
Antarctica, Constantine, Fort Monus, Manhattan and Vritra.
Most of this can be achieved using the method located here:Solution for My Hero Zero in Front Mission Evolved
All you have to do when on Constantine & Manhattan is designate the winning team for the map, have them make one cap on a point, and have the losing team exit the game in the pause menu. The quit-out counts as a win for the designated winners. The next time you guys encounter one of these 2 maps again, simply reverse roles so your entire group of 4 can get credit for all the maps while still focusing on boosting XP.