Here is the full list of all 14 Unearthing Mars 2: The Ancient War (EU) trophies - there are 11 bronze, 2 silver and 1 gold.
Complete all stages, and defeat Berserker Beast, Harbinger and Black Sword without dying
Defeat the Black Sword without losing connection
Defeat the Harbinger without losing connection
Defeat the Berserker Beast without losing connection
Completed Chapter 10
Completed Chapter 9
Completed Chapter 8
Completed Chapter 7
Completed Chapter 6
Completed Chapter 5
Completed Chapter 4
Completed Chapter 3
Completed Chapter 2
Completed Chapter 1