Preheat oven to 425 degrees. Mix dry ingredients; cut in shortening. Add grated orange rind. Add milk to dry ingredients. Mix completely.
Turn dough onto floured board. Pat to 1/2 inch thickness. Cut with small cutter. Put into greased baking pan. Before putting into oven, dip bottom of beverage glass into orange juice; press down into top of each biscuit. Bake and serve at once.