Sloppy Joe Eggs

Arrange a rack in center of oven; preheat to 400º. In a large ovenproof skillet or pot over medium-high heat, heat oil. Cook onions, carrot, and bell pepper, stirring occasionally, until softened and golden, 10 to 12 minutes.

Reduce heat to medium. Add ketchup and cook, stirring occasionally, until color is darkened, 5 to 7 minutes. Add garlic and chili powder and cook, stirring, until fragrant, about 1 minute. Add vinegar, mustard, and Worcestershire and cook, stirring, until warmed through, about 1 minute more. Transfer to a medium bowl.

Increase heat to medium-high. Cook sausage, stirring frequently and breaking meat apart, until browned, 5 to 7 minutes.

Add tomatoes, 1/2 tsp. salt, and vegetable mixture. Bring to a boil, then reduce heat to low and simmer until slightly reduced, 2 to 3 minutes. Remove from heat.

Make 4 indentions in meat mixture. Crack 1 egg into each; season with salt.

Bake sloppy Joe eggs until egg whites are set and yolks slightly runny (shake pan to test this), 8 to 10 minutes.

Top with Parmesan; season with pepper. Serve with toast alongside (if using).