Yes, puppies can eat carrot cakes but in moderation. When giving your puppy carrot cake a treat, make sure it's homemade rather than store-bought, so you know what goes into it. You should also limit the amount you feed them, so they don't get diarrhea from overeating at once. If you introduce the carrot cake to your dog, give a small piece, then observe any allergic reactions. Some puppies may be lactose intolerant. You can, after that, decide whether to include the carrot cake in your puppies' diet as a treat.