01 - Preheat the oven to 375°F (190°C).
02 - In a large skillet over medium heat, brown the ground beef. Drain excess fat if necessary.
03 - Add chopped onion and minced garlic to the beef and cook for 3 to 4 minutes until the onion becomes translucent.
04 - Incorporate ground cumin, chili powder, smoked paprika, salt, black pepper, and beef broth. Simmer for 2 to 3 minutes until liquid reduces. Remove from heat.
05 - Heat olive oil in a medium saucepan over medium heat. Whisk in flour and cook for 1 minute.
06 - Gradually whisk in chicken broth to prevent lumps. Stir in tomatillo salsa, diced green chilies, garlic powder, onion powder, salt, and cumin. Simmer for 3 to 4 minutes until sauce thickens slightly. Remove from heat.
07 - Spread 1/2 cup of green chili sauce evenly in the bottom of a 9x13-inch baking dish. Fill each tortilla with approximately 1/3 cup of the beef mixture, sprinkle with Monterey Jack cheese, roll up, and place seam-side down in the dish.
08 - Pour remaining green chili sauce over the rolled tortillas. Sprinkle with remaining Monterey Jack and cheddar cheeses. Bake for 20 to 25 minutes until cheese is melted and sauce is bubbly.
09 - Allow to cool slightly. Garnish with cilantro, diced red onion, sour cream, and lime wedges. Serve hot.