Preheat the Blackstone grill over medium high heat (approximately 400 degrees F).
Add the butter to the grill. Melt it and spread it around with a spatula.
Spread the diced potatoes onto the grill on the butter on one side of the grill. Cook for 10-15 minutes until the potatoes start to get tender.
While the potatoes are cooking, place the chorizo sauce on the opposite side of the grill and break it up with a spatula and cook until browned and no longer pink.
Push the potatoes and sausage to a cooler side of the grill.
Pour the beaten eggs onto the griddle and season the eggs with salt and pepper. Scramble the eggs.
Once the eggs are done, mix the scrambled eggs with the cooked chorizo and potatoes. Spread the mixture into an evenly layer on the grill.
Top with both of the shredded cheese and heat for a few minutes until the cheese is melted.
Turn the griddle off while you prepare the burritos. Evenly place the egg mixture into the center of each tortilla. Fold the sides in and tightly roll each tortilla into a burrito.
Clean off the Blackstone grill and preheat the grill to medium high heat.
Spread the avocado oil onto the grill with a spatula.
Place each of the burritos, seam side down onto the grill and cook each side for 1-2 minutes until browned. Watch them closely so that they do not get overcooked.
Remove the burritos from the grill, serve warm and enjoy!