Here is the full list of all 8 Pocket God vs. Desert Ashes trophies - there are 1 bronze, 6 silver and 1 gold.
Destroy 3 units in one turn.
Destroy 4 units in one turn.
Destroy 5 units in one turn.
Beat the AI in a skirmish match.
Played an online match.
Win an online match.
Win 5 online matches.
Level-Up in multiplayer stats.