There are numerous ways of replacing eggs in baking. One is using Sodium Bicarbonate or Baking Soda with a sour agent such as vinegar or buttermilk which activates it upon heating. Some also prefer using egg replacements like flax seeds in baking. My personal way of replacing eggs in baking is following this formula: 1 Egg = 5tbsp Milk + 1 tsp Oil + 1/2 tsp Baking Powder. This can be used for cakes, cookies, etc. literally for any baking recipe.