It is not recommended to give sugar cookies or any sugary treats to dogs. Sugar cookies typically contain ingredients that are not suitable for dogs, such as sugar, butter, and sometimes chocolate or other harmful additives. These ingredients can be harmful to dogs and may lead to digestive issues, weight gain, or even more serious health problems. If you want to treat your dog, it's best to stick to dog-safe treats specifically made for them. There are many dog-friendly treats available in pet stores or you can even make homemade dog treats using dog-friendly ingredients like peanut butter, pumpkin, or carrots. Always consult with your veterinarian before introducing any new treats into your dog's diet to ensure they are safe and suitable for your pet's health.