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Preparation: Thinly slice red onions, bell peppers, tomatoes, jalapenos.
Heat oil in a large heavy pot over medium heat. Add bell peppers and onion and cook, stirring occasionally, until softened and just beginning to brown, 10–12 minutes.
Add tomatoes, garlic, jalapeño, basil, oregano, chili powder, and paprika to pot. Reduce heat to medium-low and continue to cook, stirring occasionally, until vegetables are very soft and liquid is thickened, 20–30 minutes; season with salt and pepper. Discard jalapeño.
Preheat oven to 400°. Transfer bell pepper mixture to a 13x9” baking dish. Using the back of a spoon, make 6 evenly spaced divots in mixture. Spoon a dollop of ricotta into each divot, then crack 1 egg into each. Top with cheddar and Parmesan; season with salt and pepper. Bake, rotating dish halfway through, until Parmesan is melted and egg whites are almost set but yolks are still runny, 15–18 minutes.