Heat oil in a sauté pan over medium-high heat. Add onions and fry until beginning to brown. Add sugar and carrots and stir to combine. Add garlic, salt and white pepper and continue to fry until the mixture is deeply golden.

Add tomatoes. Lower heat, cover, and let steam for 10 minutes. Lift the lid and add tomato sauce and water. Stir and continue to cook until sauce thickens.

Taste and adjust seasoning at this point. (If serving in individual dishes as shown, transfer mixture to oven safe dishes and continue as directed, baking the final eight minutes in the oven instead of over the stove).

Crack eggs, one at a time, into a small dish. Add each egg over the shakshuka, evenly spacing them on top. Once egg sets slightly, top with cheeses. Cover and cook additional eight minutes. 

Serve with fresh bread.