Heat 1 tablespoon of vegetable oil in a large skillet over medium heat.
Add the salsa verde to the skillet and bring to a gentle simmer, cooking for 3-4 minutes until slightly thickened.
Add the tortilla chips to the salsa, gently tossing to coat evenly. Cook for 2-3 minutes until the chips soften slightly but still retain some crunch. Remove from heat and set aside.
In a separate non-stick skillet, heat the remaining tablespoon of oil over medium heat.
Crack the eggs into the skillet, being careful not to break the yolks. Cook for 3-4 minutes for sunny-side-up eggs, or flip for over-easy if preferred.
Divide the chilaquiles among four serving plates.
Top each portion with one fried egg.
Drizzle Mexican crema over the chilaquiles and eggs.
Sprinkle with crumbled queso fresco, sliced red onions, and fresh cilantro.
Serve immediately with refried beans, sliced avocado, and lime wedges on the side.
Add salt to taste and enjoy your authentic Mexican breakfast while hot.