Is you dog gulping the food or taking the time to chew?
If gulping, I'd suggest to feed larger pieces of eat (with bone) to MAKE her HAVE to chew it.
Don't worry about what passes through your dog.
My dog once chewed 1 tail off each of his Kong Wubba toys ( 1 yellow 1 blue)
They stayed inside him for 2.5 days - the blue one "passed through" the yellow on he threw up
