Combine all ingredients until mixed thoroughly. Form Patties.
In a food processor, add egg yolks and garlic cloves and blend on high until eggs are thick to ribbon-like consistency. Slowly add oil until emulsified. Add paprika, lemon juice and season with salt and pepper.
Cook burgers on a hot grill to desired temperature. Melt cheese, add Paprika aioli, Arugula, Tomato, and caramelized onions. Serve on Onion Roll.