This trophy is for playing one full match on each of the DLC maps. You must have the Rapture Metro DLC in order to access the new maps.
Simply play a full match on each DLC map and you will earn the trophy win or lose after the last map is finished.
Maps are as follows.
Dionysus Park
Fighting McDonagh's
Fontaine Fisheries
Pauper's Drop
Siren Alley
Smellers Hideout