Preheat the oven to 450˚F. Line a baking sheet with foil and set it aside.
Place the mushrooms in a food processor, and pulse until they are very finely chopped; scrape them into a large mixing bowl. Add the garlic cloves to the food processor and pulse until they are finely chopped. Add the egg substitute and 1 tablespoon of the ketchup, and puree until the garlic is smooth. Scrape the garlic mixture into the bowl containing the mushrooms.
Add the beef, parsley, and panko to the bowl. Add the salt and season with pepper to taste. Using your hands, gently mix the ingredients until they are just combined.