In a large bowl combine 1/2 cup sugar, brown sugar, cocoa, shortening and butter; beat until light and fluffy. Add orange peel, vanilla and egg; blend well. Add flour, baking soda and salt. Cover with plastic wrap and refrigerate 1 hour for easier handling.
Preheat oven to 375 degrees F. Shape dough into 1-inch balls, using a scoop, roll in sugar. Place 2 inches apart on parchment lined baking sheets.
Bake at 375 degrees F. for 10 to 12 minutes or until set. Immediately top each cookie with a Hershey Kiss, pressing firmly so cookie gently cracks around edges. Remove fro cookie sheets to cooling racks to cool completely.