Prepare the Filling: In a large skillet over medium heat, cook the ground beef and chopped onion until the beef is browned and the onions are translucent. Drain any excess fat.
Add Veggies: Stir in shredded cabbage, garlic powder, salt, and pepper. Cook until the cabbage is tender and well mixed, about 5-7 minutes. Remove from heat and let cool slightly.
Roll the Dough: Preheat your oven to 375°F (190°C). Roll out the pizza dough on a lightly floured surface to about ¼ inch thickness.
Cut and Fill: Using a pizza cutter, cut the dough into squares about 4x4 inches. Place a generous spoonful of the beef mixture in the center of each square.
Seal the Pockets: Fold the corners of the dough over the filling, pinching to seal securely.
Egg Wash: Place the Runzas seam side down on a baking sheet lined with parchment paper. Brush the tops with the beaten egg.
Bake: Bake in the preheated oven for 20-25 minutes, or until golden brown. Allow to cool slightly before serving.