Beat butter and shortening in a large mixing bowl at medium speed with an electric mixer.

Gradually add sugar, beating well. Stir in egg, milk, and vanilla.

Combine flour, baking powder, and salt; gradually add to creamed mixture, mixing well.

Add a small amount of red food coloring to color dough as desired, beating until blended.

Shape dough into a ball; cover and chill at least 3 hours.

Divide dough in half; store one portion in refrigerator.

Preheat oven to 375 degrees.

Roll remaining portion to 1/4 inch thickness on a lightly floured surface.

Cut dough with a 3" round cookie cutter; cut circle in half.

Place on an ungreased cookie sheet. Press several chocolate mini-morsels in each cookie. Repeat with remaining dough.

Bake at 375 degrees for 8-10 minutes (do not brown). Cool on wire racks.

Combine powdered sugar and water, mixing until smooth. Add a small amount of green food coloring, mixing until blended.

Dip round edge of each cookie in green frosting; place on wax paper until frosting is firm.