Here is the full list of all 49 Aven Colony trophies - there are 37 bronze, 9 silver, 2 gold and 1 platinum.
Earn all of the trophies
Win a campaign mission on Insane difficulty
Complete Vanaar by the end of Sol 5 (in campaign mode at Normal difficulty or higher)
Reach a population of 350 colonists in Azara Falls by the end of Sol 5 (in campaign mode at Normal difficulty or higher)
Receive 10 warnings from Commissioner Veronika
Survive for 50 sols in any mission
Destroy 50 Creep Spores before they reach your colony
Build 100 Mines or Laser Mines
Build 100 farming structures
Win 5 referendum elections in a row with at least 90% of the vote
Complete the Eden Crater campaign mission on Normal difficulty or higher
Rescue 25 lost explorers
Build 200 Solar Panels
Recycle 100 structures
Keep 5 Expedition Centers operational simultaneously
Manufacture 1000 Candy
Enable 10 Social Policies or Powers simultaneously
Reveal 95% of the fog on an expedition map
Own 3 fully functional megastructures in the same colony simultaneously
Activate a Cleansing Artifact
Complete the Valley of Death campaign mission on Normal difficulty or higher
Attain the rank of Expedition President
Activate an Empowerment Artifact
Protect the colony from 100 lightning strikes
Own 10 fully functional Parks in the same colony simultaneously
Complete the Kelori Strand campaign mission on Normal difficulty or higher
Explore 50 points of interest on expedition maps
Complete 100 trade contracts
Deplete 10 Mineral Deposits
Build 10 Retail Centers
Complete the Arido Mesa campaign mission on Normal difficulty or higher
Attain the rank of High Commander
Get 1000 colonists in the same colony
Accept 2000 immigrants
Have 200 colonists unemployed simultaneously
Complete the Tenari Glacier campaign mission on Normal difficulty or higher
Activate a Shielding Artifact
Complete 100 building upgrades
Activate a Unity Artifact
Enable a Colony Boost
Complete the Hyla's Crescent campaign mission on Normal difficulty or higher
Distribute a total of 500 enhancers
Attain the rank of Commander
Get 50 colonists infected by the plague simultaneously
Complete the Azara Falls campaign mission on Normal difficulty or higher
Complete the Sandy Gulch campaign mission on Normal difficulty or higher
Bring 20 units of Sandworm Meat back to the colony
Attain the rank of Chancellor
Complete the Vanaar campaign mission on Normal difficulty or higher