Heat olive oil in a large 12-inch oven-safe skillet over medium-high heat.
Add the cubed butternut squash and diced red onion to the skillet; sauté for 8 to 10 minutes until the squash edges are caramelized and onion is translucent.
Add the minced garlic, ground cumin, and chili powder; cook for 60 seconds until fragrant.
Stir in the red enchilada sauce and vegetable broth, bringing the liquid to a gentle simmer.
Reduce heat to medium-low, cover the skillet, and cook for 5 to 7 minutes or until the butternut squash is fork-tender.
Uncover the skillet and stir in the black beans and Greek yogurt until the sauce is uniform and creamy.
Gently fold in the corn tortilla strips, ensuring they are submerged in the sauce to soften.
Sprinkle the shredded cheese evenly over the top and cover the skillet for 2 to 3 minutes until the cheese is fully melted and bubbly.
Remove from heat and garnish with chopped cilantro.
Serve immediately with fresh lime wedges.