01 - Preheat the oven to 375°F.
02 - In a large skillet over medium heat, cook ground beef, onion, and garlic until beef is browned and onion softens, about 6 to 8 minutes. Drain excess fat if necessary.
03 - Add ground cumin, chili powder, smoked paprika, salt, and pepper to the skillet. Stir in beef broth and diced green chilies, then simmer for 4 to 5 minutes until liquid is mostly absorbed. Remove from heat.
04 - In a saucepan over medium heat, warm olive oil. Add diced onion and garlic; sauté until translucent, about 3 minutes. Stir in flour and cook 1 minute, stirring constantly.
05 - Gradually whisk in broth, then add tomatillos, green chilies, ground cumin, oregano, salt, and black pepper. Simmer for 8 to 10 minutes until sauce thickens.
06 - Blend the sauce until smooth with an immersion or standard blender. Stir in lime juice.
07 - Lightly grease a 9x13-inch baking dish and spread 1/2 cup of the green chili sauce evenly on the bottom.
08 - Warm tortillas slightly until pliable. Place approximately 1/4 cup beef filling into each tortilla, roll tightly, and arrange seam-side down in the baking dish.
09 - Pour remaining green chili sauce evenly over the rolled tortillas and sprinkle shredded cheese on top.
10 - Bake uncovered for 20 to 25 minutes, until cheese is melted and bubbly.
11 - Optionally garnish with chopped cilantro and serve with sour cream.