Set up a work area with 3 shallow bowls. Crumble the cheddar cheese into small pieces in one bowl,and mix with the Parmesan. Put the Greek yogurt in another bowl. Mix the panko breadcrumbs, garlic powder, and black pepper in the final bowl.

Preheat the oven to 400 degrees F. Trim any excess fat and slice each chicken breast lengthwise into three strips. Dip each chicken strip in the yogurt, coat evenly in a thin layer, roll in the cheese mixture shaking off loose pieces, then in the breadcrumbs. Place on baking sheet sprayed with cooking spray.

Bake in the preheated oven for around 25 minutes, turning once after 10 minutes (be careful not to remove too much of the breading!), then again 5 minutes before the end of cooking. Check that the chicken has reached 180 degrees with a meat thermometer.