In a bowl combine cake mix, eggs, oil and flour. Mixture will be sticky. Roll into 1 tablespoon size balls. Bake for about 8 minutes or until set. Let cool on a wire rack.
To make the frosting, whisk together softened butter, powdered sugar and vanilla. Beat well until frosting is smooth and fluffy.
Spread some frosting onto the flat side of one of the cookies, then put another cookie on top to make an Oreo.
This recipe makes about 12 Oreo-style cookies, or about 24 single cookies.