The present disclosure provides an allergen-free composition (e.g., flours and dough) and baked products made without eggs or any other major food allergen. The disclosed allergen-free flours, dough, and batters overcome the various problems associated with allergen-free baking by appropriate adjustment of the relative amounts of various components that contribute moisture, alkalinity, texture, etc., to the final product. Baked products produced using the allergen-free flours thus have a moistness, springiness, rise, texture, and flavor comparable to products containing major food allergens. Baked products according to the disclosure include, but are not limited to, cookies (e.g., chocolate chunk/chip cookies), cakes (e.g., cupcakes), muffins, pancakes, waffles, pizza crust, pie crust, and bread products.