Foodista user Cooking Gluten Free shares their recipe for gluten-free oreo cake cookies. This gluten-free version of America's favorite cookie is absolutely delicious and extremely easy to make. However, this dessert is more like a whoopie pie then a cookie. This recipe utilizes gluten-free devil's food cake mix so there is no need to make your own gluten-free all purpose flour. Oreo cake cookies are a chocolaty treat that everyone can enjoy, whether you eat gluten-free or not.