Melt 1 tbsp butter in a skillet over medium heat. Add the sausage and cook, breaking it apart, until browned, about 5 minutes. Transfer to a plate.

Lower heat to medium low. Melt the remaining 1 tbsp butter. Whisk the eggs with salt and pepper, pour into the pan, and cook gently, stirring often, for 3 to 4 minutes until soft curds form. Remove from heat and stir in the cheese.

Wipe the pan clean and warm each tortilla over medium heat for 30 seconds per side until pliable.

Lay a tortilla flat, spoon half the egg mixture, half the sausage, and any toppings down the center. Fold in the sides, then roll tightly. Repeat with the second tortilla.

Let both burritos rest for 1 minute, then slice each in half diagonally and serve.