How do you intend to force these abusive negligent parents to put their children up for adoption? Do you wait for them to actually injure the child or kill it, or is there some criteria you'd look for at birth?
I would not force them to any more than I would force them to get pregnant in the first place.
The goal isn't to force someone to do something other than NOT kill someone else. The goal is to create the atmosphere where you are required to put up with the consequences of your actions. Don't want a kid - abort. Wait, abortion is illegal? I guess that means I'll either have to (a) get an illegal abortion, now risking my own life far more than if it was legal, or, (b) not get pregnant by someone with whom I do not want to share a child, or at a time I do not want to have a child, or.... (c) choose something else to do with the child, like raise it responsibly or give it up for adoption.
Any mother who would choose to kill her child over keeping it should never be a mother. That said, that is certainly not able to be legislated. What can be legislated is whether or not that mother kills her child legally.
Allowing for elective abortions, up to and including post-birth abortions as is now legal in NY and VA, demeans the life of every human on the planet. It's cruel and inhuman, far exceeding being a "bad" parent, or poor one.