Breast milk already contains gut bacteria naturally. No need to do anything extra.
The child transfers whatever it is fighting to the mom's nipple when breastfeeding, the mom's immune system reacts, and in the next feeding the milk contains a response for the child.
》Alternatively, bacteria may be translocated to the mammary duct from the maternal gastrointestinal tract via an entero-mammary pathway, facilitated by dendritic cells.