A person who causes injuries by shaking a baby can be charged with criminal child abuse. In addition, they are also liable in civil court for damages resulting from shaken baby syndrome, including:
Medical bills for the child’s immediate treatment
Expenses for the child’s long-term care
Compensating the victim’s family for their pain and suffering
If your child is a victim of shaken baby syndrome, you may be able to seek compensation from your (former) spouse or partner or from a babysitter, daycare provider, or foster parent through a  personal injury lawsuit against the perpetrator. If the abuse took place at a daycare center, group home, or other institution, both the individual perpetrator and the institution may be liable for damages.
Your lawyer will most likely undertake a thorough investigation of the case and may enlist the help of a shaken baby syndrome expert witness to corroborate the diagnosis.