In bowl or stand mixer cream shortening, butter, and sugar until fluffy. Add egg and extracts and mix well.
Combine baking powder, salt, and flour in a separate bowl. Gradually add to the wet mixture until blended.
Using cooking scoop, lightly roll dough ball in hands, place on parchment paper-lined baking sheet and press top of cookies half way down.
Bake for 10-12 minutes. For frosting, beat butter until fluffy using a hand mixer. Add vanilla and milk. Blend lightly. Add powdered sugar one cup at a time. Texture should be solid but soft. Frost cookies.