I recommend avoiding all grain-based treats. Your dog or cat has no biological requirements for the carbs in these treats, and in addition, they are pro-inflammatory.
Consider instead living “human” foods. Berries are a great treat because they’re small and loaded with antioxidants. You can also offer small amounts – no more than 1/8 inch square for a cat or small dog and a 1/4 inch square for bigger dogs – of other fruits (melons and apples are good fruits to start with) as well as cheese.
Many cats enjoy bits of zucchini or cantaloupe. You can also try offering some dark, green leafy veggies as treats for your kitty. It might even keep her away from your houseplants! Excellent training treats for dogs include frozen peas and raw almonds, cashews and Brazil nuts (but NEVER macadamia nuts).