There are a ton of egg substitutes for baking, especially cakes. I use them mainly when I am out of eggs. I rarely get egg-free orders. My favorites are applesauce or 1/4 cup of plain or vanilla yogurt. You can easily search the internet for a list. But as Jason mentioned, to be truly egg-free, be sure all of your other ingredients are egg-free and sanitize all of your equipment and work area before starting.