The manager overreacted. I could see making the parents pay for the sandwich, but the child should not have been sent to CPS.
I will say that I find it suspicious that BOTH adults forgot to pay for the sandwiches, but at worst, I would say that requiring them to pay for the sandwiches and telling them “You are no longer welcome in this store” is sufficient punishment for shoplifting.
The store punished the 3-yr old, that is for sure. Imagine what she has been going through! 3-yrs old! At the very most, a citation could have been written, perhaps a warning to pay and never do it again. But to arrest both parents, when only one needed to be arrested, then the child could have stayed with the other parents.