Whisk flour, baking powder, and salt together in a bowl. Beat white sugar, 3/4 cup butter, and 1 teaspoon vanilla extract together in a bowl using an electric mixer; beat in eggs, 1 at a time, until mixture is smooth. Mix butter mixture into flour mixture and form dough into a ball. Wrap ball with plastic wrap and refrigerate for 1 hour.
Preheat oven to 325 degrees F (165 degrees C).
Roll dough onto a lightly floured surface and cut into shapes using cookie cutters. Arrange cookies on a baking sheet.
Bake in the preheated oven until edges begin to brown, about 10 minutes. Cool cookies on the baking sheet for 2 minutes before transferring to a wire rack to cool completely.
Beat cream cheese, 1/4 cup butter, and 1 teaspoon vanilla extract together in a bowl using an electric mixer until smooth. Slowly beat confectioners’ sugar into cream cheese mixture until icing is smooth; spread onto cooled cookies.
I use Cup4Cup(R) flour. You can’t tell the difference between regular and gluten-free sugar cookies with it!
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