Heat enough oil in a non stick skillet to cover the bottom and heat to medium high. Add the potatoes and a little salt and pepper. Brown the potatoes on both sides, then reduce the heat to low and cook until the potatoes are tender. Remove the lid, increase the heat and crisp up the potatoes. Remove and set aside.
Add the chorizo and cook it for a few minutes until cooked through. Drain on paper towels and add to the potatoes.
Wipe the skillet out and add the butter. When melted add the beaten eggs, folding over until done, but not dry. You want them to be soft.
Add the eggs to the potato and chorizo and add some cheese. Add a tablespoon or 2 of the red chile sauce.
Heat a griddle or large skillet and heat the flour tortillas until they have puffed and have softened, Place on a flat surface and divide the mixture among each tortilla. Place in the middle of the tortilla. Fold the sides over, then roll from the end closest to you, trying to make as tight as possible, but not breaking so the filling will not come out when you fry.
Add enough oil, about an inch, to a skillet to hold both burritos. Het to medium high. You don't want the oil smoking. Place the burrito into the skillet, seam side down. Cook until browned, then turn so that all sides have browned. When done, place on a wire rack to drain.
Heat the broiler. Pour some of the red chile sauce into a bowl or on a plate. Place the burrito on top, then ladle more sauce over the burrito. Top with more cheese. Place in the broiler and allow the cheese to quickly melt. Remove from the oven, add some Mexican crema if you like and serve! Enjoy!