Preheat oven to broil. Place an oven rack four to five inches from the broiler flame.

On a rimmed baking sheet, toss zucchini, peppers, mushrooms, and onion with olive oil, garlic powder, garlic, salt, and pepper. Make sure all the surfaces are evenly coated, then spread in an even layer.

Place baking sheet on prepared rack and broil vegetables for about seven to eight minutes per side, until vegetables are slightly charred on the outside. Remove some of the vegetables if they become charred before others are finished cooking.

In a food processor or using an immersion blender combine lime juice, vinegar, garlic, salt, pepper and sugar. Blend until ingredients are completely combined.

With the blender running, add the oil in a steady stream.

Add cilantro and blend until the cilantro has broken down but still maintains some of its texture.

In a large bowl, combine lettuce, warm roasted vegetables, and shredded mozzarella cheese. Top with feta cheese.