Start by heating your large skillet over medium heat. Add the fully cooked sausage links and allow them to warm through, about 3-4 minutes. Once heated, remove them from the skillet and slice them into bite-sized pieces.
In a mixing bowl, crack the five large eggs and whisk them together with a pinch of salt and freshly ground black pepper. In the same skillet you used for the sausage, add a little cooking spray or oil if needed, and pour in the egg mixture. Cook the eggs gently, stirring frequently until they are just set but still soft, about 3-4 minutes.
Once the eggs are cooked, add the sliced sausage to the skillet along with the shredded cheese. Stir gently until the cheese is melted and everything is combined evenly. Remove from heat.
Warm the tortillas in a microwave or on a skillet until they are pliable. Spoon about 2-3 tablespoons of the egg and sausage mixture onto the center of each tortilla. Roll them up tightly, starting from the bottom and folding in the sides, to create your taquitos.
In the same skillet, add a little more cooking spray or oil and place the taquitos seam-side down. Cook for 2-3 minutes on each side until they are golden brown and crispy. You may need to do this in batches depending on the size of your skillet.
Remove the taquitos from the skillet and let them cool slightly before serving. They are delicious on their own or paired with salsa, guacamole, or sour cream for dipping.