Heat oven to 425°F. Line a sheet pan with parchment and set aside.
Warm 1 tbsp oil in a large skillet over medium-high heat.
Sauté onion, bell pepper, and mushrooms with a pinch of salt until tender, 5–6 minutes. Stir in garlic for 30 seconds.
Push veggies to the sides. Add steak to the center; season with remaining salt, pepper, and Worcestershire. Cook, chopping into small bits, until just browned, 3–4 minutes.
Reduce heat to low. Stir in cream cheese until melted, then remove from heat and fold in provolone. Let the mixture cool 5 minutes.
Warm tortillas in the microwave wrapped in a damp towel until pliable, 30–45 seconds.
Spoon about 3 tbsp filling along the lower third of each tortilla. Roll tightly, placing seam-side down on the pan.
Brush taquitos lightly with the remaining oil. Bake 12–15 minutes, turning once, until crisp and golden.