Combine the seasoning mix ingredients in a small bowl.
In a 12-inch skillet over high heat, combine the butter with 2 tablespoons of the oil. As soon as the butter melts, add the onions, all the chile peppers, and 1 tablespoon plus 2 teaspoons of the seasoning mix. Stir well, then cook, stirring occasionally, until the vegetables begin to brown, about 6 to 8 minutes. Remove from the heat and set aside to cool to room temperature. The mixture should be a golden tan color, the onions a medium tan brown, and the peppers dark red and dark green. The vegetables retain a slight crunch.
Preheat the oven to 350 degrees F.
While the vegetables are cooling, make the cornbread batter. Combine the corn flour, all-purpose flour, sugar, cornmeal, baking powder, and the remaining seasoning mix in a large bowl. Add the egg, milk, melted butter, 1/2 cup each of the grated Cheddar and Monterey Jack, and the vegetable mixture. Mix until just combined.
Pour the remaining 2 tablespoons oil into a 12-inch cast-iron skillet. Make sure that the oil covers the entire bottom of the skillet; lift and roll the skillet if necessary. Heat the oil just until it begins to smoke, about 4 to 5 minutes. Add the batter to the skillet, the mixture will begin to sizzle right away. Remove the skillet immediately and sprinkle the top of the batter evenly with the remaining 1/2 cup each Cheddar and Monterey Jack.
Bake until a knife inserted into the middle of the cornbread comes out clean, about 30 minutes. Remove from oven and let stand for 10 minutes before cutting.
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Recipe courtesy of Paul Prudhomme, author, "Louisiana Tastes"
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