With the very limited information given, I can come up with a few names. Although, it does not sound like the game is incredibly deep in terms of story (Although I can't really know for sure). But if that is the case, I would try to keep the name simpler than something like "Genesis: Rise of Man"
You could just go with "Genesis"
They are all very generic names, but without any pitch for the story, we can't really come up with any custom names.
the name Shock point is to close the classic game System Shock and Rift runners is also to the famous mmorpg Rift. But the name Genesis sounds pretty cool.