OK, this isn't an answer, but I found this and it's great
Pouch vore -
Pouch vore is a process present in the case of a marsupial predator such as a kangaroo, which involves enticing or forcing prey into his/her pouch. Upon entry, prey are then shoved further down by the predator or sucked down through contracting muscles. Prey may be forced into the stomach or stay in the confines of the pouch, as the predator's preferences dictate.