Beat 1/2 cup shortening and 1/2 cup butter at low speed with an electric mixer until fluffy; add 1 1/2 cups sugar, beating until blended. Add eggs, 1 at a time, beating until blended after each addition.
Stir together flour and next 6 ingredients; add flour mixture to butter mixture, beating at medium speed until blended. Add orange juice, beating until blended. Cover and chill 8 hours.
Shape dough into 1-inch balls; roll balls in remaining 1 cup of sugar. (Dampen hands with water if dough is sticky.)
Place on greased baking sheets. Press 1 fresh cranberry into top of each cookie ball.
Bake at 350° for 10 to 12 minutes or just until edges begin to brown. Cool on baking sheets 1 minute. Remove to wire racks to cool.