1In a large bowl, mix all cookie ingredients together well. Refrigerate for at least 1 hour.
2Preheat oven to 350º
3Remove dough from refrigerator and form into a ball. Place ball between 2 sheets of plastic wrap and roll out to about 1/4" thick. Cut out cookies using a cookie cutter and place on ungreased cookie sheet (use spatula if dough is too sticky).
4Bake for 8-10 minutes or until very lightly browned (they may look undercooked). Let cool on cookie sheet for 2 minutes; remove to a rack and let cool completely. Frost cookies when cool.
In a bowl, mix shortening, powdered sugar, and vanilla; make sure shortening is thoroughly incorporated. Add milk, a couple of tablespoons at a time, until desired consistency is reached. Can add food coloring if desired.