Asexual: Which is also a carryover from her time in Secret Six.
The Atoner: Tremor's backstory reveals she has Survivors Guilt from being the only survivor in a drunk driving car crash. She wants to make up for it by joining the Movement and quits being a mole for Amanda Waller.
Dishing Out Dirt: Can create tremors in whatever she touches; mainly the ground.
The Mole: Was working as one for Amanda Waller, though the same issue that reveals this shows her quitting
Real Name: Kulap Vilaysack
Boobs of Steel: Katharsis is the most skilled in combat; able to take on several opponents at once and shrug off tasers. She also has the biggest bust of all the female members of the Movement.
Heel-Face Turn: She previously appeared as a villain in a Batgirl story arc. Though she herself hasn't really changed; it's just that her new team won't let her get away with the things she did while working for Knightfall.
Retcon: The details of Katharsis' backstory are changed from "castrated an accused child molester later found innocent" to "scarred, but didn't castrate, a rapist and murderer who got away with it." Word of God suggests that Unreliable Narrator may be at work and later in the series we'll get another perspective on the incident.
Token Evil Teammate: Katharsis is the most violent of the Movement. She is willing to kill or at least do a lot of bodily harm to her enemies. The others have to keep her from going over the edge.
Genius Cripple: Discussed when one of the captured cops asks Vengeance Moth if she's the one who set up the headquarters to be off the power grid with an internet connection, which she denies. Also possibly a Mythology Gag to Gail's earlier work on Birds of Prey, which featured the wheelchair-bound super hacker Oracle and the fact that people made comparisons when Vengeance Moth was first introduced.
Vengeance Moth: I get this a lot. Because everyone in a wheelchair is automatically Stephen Hawking, right?
Handicapped Badass: She's revealed to be a metahuman in issue 5. She can grow energy wings to fly and fire a Fletchette Storm. However, her muscular dystrophy keeps her from going out on the front lines.
Mission Control: Vengeance Moth stays at the hideout to keep an ear on the streets.
Team Mom: Apparently this to the team. The first thing she asks the two captured cops after introducing herself is if they want a fruit snack.
Handicapped Badass: Monster Baby is blind, but given the way she fights, you wouldn't know unless she told you.
Hired Guns: Jack Cannon enlisted them to wipe out the Movement after the police failed to do so.
Knights of Cerebus: They're shown to be incredibly dangerous and competent, with the intention of making a deadly example out of the Movement and their followers. They start with Mouse; beating him within an inch of his life and leaving him out for the others to find.