Prepare the Steak
Place steak in the freezer for 30–40 minutes to firm up
Slice very thinly against the grain
Season with salt, pepper, garlic powder, onion powder, and smoked paprika
Cook Steak and Vegetables
Heat olive oil and butter in a large skillet over medium-high heat
Add steak in a single layer and sear 2–3 minutes per side
Remove steak and set aside
In the same skillet, add onions and bell peppers
Cook 6–8 minutes until softened and lightly caramelized
Make the Cheese Sauce
Melt butter in a saucepan over medium heat
Whisk in flour and cook 1 minute
Slowly whisk in warm milk until smooth
Simmer until slightly thickened
Reduce heat and stir in provolone and mozzarella until melted
Season lightly with salt and pepper
Combine Filling
Return steak to skillet with vegetables
Stir gently to combine
Remove from heat
Assemble Burritos
Warm tortillas in a dry skillet or microwave
Place steak mixture down the center of each tortilla
Spoon cheese sauce generously over filling
Fold sides inward and roll tightly into burritos
Optional Finish
Place burritos seam-side down in a hot skillet
Toast lightly until golden on both sides