Now that the puppet head is coming along I'm going to begin to build the mouth. Since the grip must go inside the muzzle, I'll be doing that first. To make the grip, I'm using a fourth type of foam. It is super high density and called L200.
1) With an exacto carefully cut two pieces of gasket rubber. This gives the pallet strength and form. The gasket rubber should be big enough to support your fingers and thumb, but not so large that it covers the whole pallet - keeping it small increases the mouth's flexibility.
2) Next cut two pieces of L200 to about half an inch in thickness and glue them with Barge to the gasket rubber. Make sure foam is thick enough to get a hold of, but not so thick that It's difficult to grip.
3) Cut two pieces of light weight cotton fabric about a half an inch bigger than the gasket rubber.