Preheat your oven to 350°F and lightly grease a 9x13-inch casserole dish.
Whisk the eggs in a large bowl until frothy.
Stir in Monterey Jack and cheddar cheeses.
Sift together the flour, baking powder, and salt in a separate bowl, then add to the cheesy egg mixture.
Pour in melted butter and milk, stirring until moistened.
Fold in the drained green chiles gently.
Spread the batter into the casserole dish and smooth the top.
Bake for 35 to 45 minutes until golden and set.
Let it cool slightly, then cut into squares and serve warm.
