Why is my baby is refusing my stored breastmilk? Posted on August 23, by Serena Meyer. Often when a baby is refusing pumped milk, the baby is refusing the method of feeding, not the milk itself. To find out whether a baby is refusing the feeding method or the milk being fed, some mothers experiment to see if the baby will take freshly . Your baby refusing to breastfeed can be upsetting, especially if you have no idea why it's happening. While you’re racking your brains to work out what’s gone wrong, you may even feel that your baby doesn’t like you. A baby refusing the breast is a common breastfeeding problem. Discover how you can positively encourage your baby to feed again If your baby is very sleepy and doesn’t seem interested in breastfeeding, then do seek help. It could be that the after-effects of the birth or pain relief used during.