Note, in the most recent turn I labeled the Avarrach Aleta as being "PRIORITY ONE" on the most wanted list. This is not so much because she is the first priority for you to capture in your own eyes, but because she is the most valuable target in the Overseers' eyes. If you were to capture and hand over the Avarrach Aleta, it's entirely possible that they would let you keep some of the other prisoners.
Not included in the list of wanted individuals:
Orion--location: IN THE GROUND
Taiga--because this takes place before Rebellion comes out
Agent Coyle--because I'm pretending he doesn't exist for the purpose of this exercise
I'll inform you of any captured individuals (or any who evaded your clutches) in the next turn writeup. Then you can vote on what to do with each of the prisoners: at the basic level between keeping them or handing them over to the Overseers. If you keep them, you'll have to decide between executing them, imprisoning them, or indoctrinating them.
Gin has already unveiled his plans to capture Neon. Depending on the outcome of that battle, Genesis Industries as a faction will collapse, giving you guys more budget points, conscripted troops, and other bonuses. Note that it's very likely for a renegade "Genesis Remnant" force to survive, but it will have non-faction status and can probably be easily wiped out. In the event that GR forces flee to Jittaria (the peaceful island nation across the sea), you can take it up with the Jittarians in a diplomatic meeting. Note that if you wanted you could ignore the Jittarians completely, attack them, or use diplomacy to render them a vassal state (the last option being the easiest). I'll point out that if you attack the Jittarians I'll have to invent rules for the faction, which I really don't want to do. So please don't.