Chop the zucchini, peppers, and onion.
Shred the cheddar cheese and crumble the feta cheese.
To a large skillet or pan, over medium-high heat, add 2 tbsp of olive oil. When the oil is hot, add the peppers and zucchini. Cook them for about 7-8 minutes over medium-high heat until they get a bit of color on the outside. Stir occasionally.
Add the onion, salt, pepper, sugar, and minced garlic, and cook for another minute.
Add the tomatoes and 1/4 cup water. Mix everything and simmer for about 10 minutes until the veggies have softened.
Make wells for the eggs with the back of the spoon. Crack the eggs in the wells made with the back of the spoon.
Add the feta cheese and cheddar cheese (or other cheeses you’re using; see notes).
Place the lid on and simmer it until the eggs are your desired consistency. You can also finish it in the oven (if you're using an oven-safe skillet) if you’d prefer at 400°F(200°C) for about 6-7 minutes. Add fresh parsley or other fresh herbs (see notes) to garnish it.