Honestly I think strength training is what’s important here for bigger glutes. Muscles grow when you eat 0.7-1g of protein per lbs of body weight, and when you put the right type of stress on them. So if you’re 135lbs like me, you would want to eat 108-135g of protein a day. Strength training creates microscopic tears on the muscles making them grow. Make sure to never strength train if you haven’t eaten adequately. You can still do your calorie deficit of course. Just make sure it’s only a small deficit of around 200-300.