Here is the full list of all 54 Ashes of the Singularity: Escalation achievements.
Conquered Falness
Completed the sixth Ascendency mission
Completed the fifth Ascendency mission
Conquered Roceda
Completed the fourth Ascendency mission
Won a skirmish against unfair teams
Win a match after a teammate has lost. Thanks a bunch, pal.
Completed the Tutorial
Won a skirmish game as the Substrate
Won a match without wasting a single resource
Own 10,000 metal
Own 10,000 radioactives
Won a match by destroying all opposition
Reached level 5 with a Dreadnought
Fielded 30 units of bombers at once
Fielded 1,000 Logistics worth of units
Reached level 10 in any global upgrade
Won a match on victory points
Won a skirmish game as the Post-Humans
Didn't even sweat wasting 3,000 metal in a single match
Upgrade a building
Called in orbital support
Completed the third Ascendency mission
Complete the second Ascendency mission
Completed the first Ascendency mission
Won a six-player match in the Ascendancy Wars
Won the Ascendancy Wars for the Post-Humans
Stomped the comp with human teammates
Lost a skirmish game
Joined a ranked match
Stuck around to the bitter end in a multiplayer loss
Reached rank 5 in ranked multiplayer
Reached Legendary status in multiplayer. #respect
Won a 3+ player free-for-all game as Substrate
Won a game after your Nexus was dealt critical damage
Won a skirmish with a handicap
Defeated an unfair-teams skirmish against Insane AIs with a fellow human fighting at your side
Defeated an unfair-teams skirmish against Insane AIs with no human help
Conquered Artorius
Completed the eighth Ascendency mission
Conquered Silgul
Watch a game as an Observer
Completed the first Memories mission
Completed the second Memories mission
Completed the third Memories mission
Completed the first Escalation mission
Completed the second Escalation mission
Completed the third Escalation mission
Completed the fourth Escalation mission
Completed the fifth Escalation mission
Completed the sixth Escalation mission
Completed the seventh Escalation mission
Completed the eigth Escalation mission
Completed the ninth Escalation mission