Here is the full list of all 54 Ashes of the Singularity: Escalation achievements.
Completed the ninth Escalation mission
Completed the eigth Escalation mission
Completed the seventh Escalation mission
Completed the sixth Escalation mission
Completed the fifth Escalation mission
Completed the fourth Escalation mission
Completed the third Escalation mission
Completed the second Escalation mission
Completed the first Escalation mission
Completed the third Memories mission
Completed the second Memories mission
Completed the first Memories mission
Won the Ascendancy Wars for the Post-Humans
Completed the eighth Ascendency mission
Won a six-player match in the Ascendancy Wars
Win a match after a teammate has lost. Thanks a bunch, pal.
Conquered Silgul
Conquered Artorius
Conquered Falness
Completed the sixth Ascendency mission
Completed the fifth Ascendency mission
Conquered Roceda
Completed the fourth Ascendency mission
Won a match by destroying all opposition
Own 10,000 metal
Own 10,000 radioactives
Completed the third Ascendency mission
Complete the second Ascendency mission
Won a match on victory points
Won a skirmish game as the Substrate
Won a skirmish against unfair teams
Won a match without wasting a single resource
Won a 3+ player free-for-all game as Substrate
Reached level 10 in any global upgrade
Reached level 5 with a Dreadnought
Called in orbital support
Upgrade a building
Lost a skirmish game
Fielded 1,000 Logistics worth of units
Completed the first Ascendency mission
Won a skirmish game as the Post-Humans
Stomped the comp with human teammates
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
Didn't even sweat wasting 3,000 metal in a single match
Won a game after your Nexus was dealt critical damage
Fielded 30 units of bombers at once
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
Completed the Tutorial
Watch a game as an Observer