Combine the dough ingredients in the food processor and pulse until well combined.
To make round cookies: Divide into 20 balls and put on a parchment-lined baking sheet. Press down with your fingers.
To make cut out cookies: Roll the dough out between two sheets of parchment paper on top of a cookie sheet. Remove the top sheet. Make shapes in the dough 1-2 inches apart. Remove the dough in between the shapes. Repeat with remaining dough. ***
Bake for 14-18 minutes or until lightly browned around the edges. Cool completely.
Stir together the ingredients for the icing. Spread on the cooled cookies. Set them on waxed paper and refrigerate to harden the icing so they can be stacked.
Notes
*** this dough is too soft to make cut out cookies with the traditional method of lifting the shapes and transferring those to a cookie sheet. But it does work and holds the shapes with my reverse method.Notes on Sweeteners: