When you're finished changing the baby, throw the diaper in the trash (not the inside trash but the outside trash, the one that even you have trouble opening and/or moving to the curb every week).
Politely explain to the dog just exactly what it is they are consuming. This won't prevent them from eating it, but it might remind you to put the diaper in the trash.
Potty train. (The baby, not the dog.) And early. Way early.
Buy diapers that taste either of olives or grapes, neither of which is high on the list of dog consumables (but may not deter a determined dog regardless).
Use cloth diapers. The dog may also eat cloth diapers, but this list is about disposable diapers, so this method qualifies.
Feed the dog. This, again, may not deter the dog, but it might cause the dog to give up sooner on the diaper, thus keeping them out of the veterinary hospital.
Put the dog outside on a short chain. This will make the dog crotchety and mean-tempered, and would likely be considered torture were it not for the fact that you have a house full of disposable diapers to protect, and thus don't want to take any chances.
Give the dog to someone who will love them. I suggest Ellen Degeneres. Do not drop the dog off at a shelter with a note reading "ate too many diapers." This will only mean certain death for the dog.
Give the baby to someone who will love them. Again, Ellen comes to mind, but also Brad Pitt. You may be safe dropping the baby off at the shelter with a sign reading "creates too many dirty diapers... it was either the baby or the dog." I don't have experience in this area. Check your local shelter for more information.
Beg your dog not to eat the diapers. This won't work. But you will feel as if you've done something.
Shout and use foul language. This won't work either, but the dog will understand that you are a raving lunatic, and just might run off to some other food source. Some people down the street just had a baby, for instance. Maybe they won't be so very nuts.
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