Follow these simple steps to create your Beer Brat and Caramelized Onion Pizza:

1. Preheat Oven: Preheat your oven to 475°F (245°C). If using a pizza stone, place it in the oven to heat up.
2. Caramelize the Onions: In a skillet over medium heat, add olive oil. Once hot, add the sliced onions, salt, pepper, and sugar. Cook for 20-30 minutes, stirring occasionally until the onions are golden brown and caramelized.
3. Prepare Pizza Dough: Roll out the pizza dough on a floured surface to your desired thickness. Transfer to a baking sheet or a pizza peel if using a stone.
4. Spread Mustard: Evenly spread the Dijon mustard over the pizza dough, leaving a small border around the edges.
5. Add Cheese: Sprinkle a layer of mozzarella cheese evenly over the mustard.
6. Add Toppings: Distribute the cooked and sliced beer brats over the cheese, followed by the caramelized onions.
7. Top with Cheese: Finish by adding the remaining mozzarella and the shredded cheddar cheese on top.
8. Bake Pizza: Place the pizza in the preheated oven (or on the pizza stone) and bake for 12-15 minutes, or until the crust is golden and the cheese is bubbly.
9. Garnish: Once baked, remove the pizza from the oven. Let it cool for a couple of minutes, then sprinkle with fresh parsley if desired.
10. Slice and Serve: Cut the pizza into slices and enjoy!

Following these steps will guide you in creating your delicious Beer Brat and Caramelized Onion Pizza effortlessly.