In a large mixing bowl combine butter, shortening and sugar. Beat until fluffy.
Turn mixer down and add egg, vanilla and almond extract. Add baking powder. Sift in and flour and cornstarch until mixed thoroughly (1-2 minutes).
Scoop dough, using a medium cookie scoop, onto ungreased baking sheets. Roll each scoop of dough into a ball.
Press a glass into each cookie dough ball to flatten. Dip glass in sugar to keep the glass from sticking to the cookie dough.
Bake cookies for 10 minutes. Allow to cool on pan 3-5 minutes before transferring to cooling rack.
Allow cookies to cool completely before frosting.
Frosting
Crush cinnamon red hots in a bag with a rolling pin, or pulse in a food processor until it resembles coarse sand. Set aside.Mix remaining frosting ingredients with electric mixer. Stire in red hots candy. Spread over cookies.
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Notes
If using salted butter, no additional salt is necessary for the cookie dough. If using unsalted butter, add a ½ teaspoon of salt with the dry ingredients in the cookie dough.Cookies can sit be stored at room temperature or chilled.