Hello and thank you for your question.
It is not likely that the wood will break down in the stomach however the stomach acids may soften them enough to allow them to pass.
I would watch them carefully for any signs of intestinal bleeding such as vomiting blood, or blood in the stool. You can add oatmeal, bread or metamucil to their diet for the next day or so to help bulk up the diet and provide more fiber which may also help them pass through the system.
The bacon can also cause stomach upset or diarrhea.
If they stop eating been vomiting blood or have blood in the stool or fail to pass stool you will want to have them seen right away.
I hope this has helped to ease your mind at least for now. Please let me know if there is anything else I can do for you, also please feel free to reply back with any additional questions you may have.
Candy
Veterinary Technician
Practicing Veterinary Technician for 23 years. Veterinary Practice Owner, Technician Trainer