The title seems to be completely false. I had a look at the bill, and I can't find anything in in that indicates that the father of the child can sue the mother. It reads to me that the mother cannot be sued.
"
(c The following individuals are excluded from liability under this1 subchapter:
(1) A woman who receives or attempts to receive a dismemberment abortion; "
I can't actually see any proof that a rapist can press charges either.In the list of people who can press charges, the man has to be married to the pregnant woman, and thus is not a rapist in the traditional sense
"(b)(1) A cause of action for civil damages against a person who has 28 purposely violated this subchapter may be maintained by:
(...)
B) The father of the unborn child, if the father is 32 married to the woman at the time the dismemberment abortion was performed (...)
I might be missing something, but neither part of the title appears to be true.
Here's the bill by the way
https://www.billtrack50.com/BillDetail/755370