Making the Dough
Mix the flour, baking powder, salt, garlic powder, and optional cheddar powder together in a large bowl.
Use a fork to cut the butter in until it's no longer visible. Add the Greek yogurt and use the fork to mix everything together until a crumbly dough begins to form. Don't over mix. Some dry ingredients should remain.
Transfer the crumbly dough onto a flat surface and use your hands to form a ball of dough.
Assembling and Cooking the Bread Twists
Portion the dough into 6 pieces, each weighing ~43 grams. Roll each piece between your palms or on the flat surface to make thin strips of dough about 8" long.
Braid 2 strips together to make 3 bread twists. Place the bread twists in an air fryer basket or on a baking sheet. Brush the bread twists with a 1/2 tablespoon (8g) of olive oil.
Air fry at 350ºF for 15 minutes or bake for 30-35 minutes at 375ºF.
While the bread twists cook, microwave 1/2 Tbsp (7g) of light butter for 5 seconds before stirring in the remaining olive oil (8g), garlic powder, red pepper flakes, and oregano. Brush the butter sauce over the cooked bread twists and grate the parmesan over the top. Serve warm.