In a bowl, mix all-purpose flour, salt, melted butter, and shortening. Slowly add warm water until the dough is hydrated. Knead for 5 minutes, then divide into 8 balls. Allow to rest for 20 minutes.
Roll out the dough balls into tortillas and cook on a hot griddle until blistered and puffed.
In a skillet, heat oil and cook flank steak strips seasoned with salt and black pepper. Add potatoes, red bell pepper, onion, and roasted poblano peppers. Cook until potatoes are almost done.
Move ingredients to the side and scramble eggs in the skillet. Mix everything together until eggs are fully cooked.
To assemble burritos, spread refried beans on a tortilla, add steak and egg mixture, avocado (optional), and cheese. Roll up the burrito.
Repeat with remaining tortillas.
Enjoy the homemade steak and egg breakfast burritos with salsa on the side.
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