Rasputin IV hasn't shown up too often. First, back in HOX/POX future, and then brought back in the Sins of Sinister books, which was like a 3 month AoA for Immortal, X-men Red, and Legion of X. The Sinister timeline everyone was talking about was one where Sinister was able to corrupt everyone with a bit of himself and takeover the universe. Sinister himself was becoming useless in the new world, as the Sinister Quiet Council was looking for a reason to get rid of him. So, he created Rasputin IV free from the controls other Chimeras had, for him to find his Moira clones to reset the timeline. She got sent back as a way of stopping him by Moira when she reset the Sinister timeline. Sinister trained her on lies to make her believe she is a hero, which is why she isn't what you expect a Sinister weapon to act like.
Comic books.
As for her powers, she is extremely powerful. Colossus's skin, Unus' force fields, Quire's TP, Kitty's phasing, and Laura's healing factor. She is described as a one woman X-team. Extremely powerful, yes, but still not quite unable to be beaten, imo.