Here is the full list of all 13 WWE 2K Battlegrounds trophies - there are 9 bronze, 3 silver and 1 gold.
Pick up a motorcycle and a turnbuckle
Perform 20 taunts
Control the ram and feed your opponent to the alligator
Win a Steel Cage match
Perform 20 signature moves
Fill the crowd bar
Perform a pin successfully
Unlock the "Thunderstorm" Power Up
Complete the Wrestlemania event
Unlock the Everglades battleground
Win a Gauntlet match against 5 opponents or more
Win a Royal Rumble match with 20 opponents
Win a Royal Rumble match against 30 opponents in normal difficulty or higher