Preheat oven to 400°.
Lightly spoon flour into dry measuring cups; level with a knife. Combine flour, 1/3 cup sugar, baking powder, baking soda, and salt; cut in margarine with a pastry blender or 2 knives until mixture resembles coarse meal. Stir in apricots and cranberries. Combine buttermilk, orange rind, egg, and egg white; add to flour mixture, stirring just until moist.
Turn dough out onto a lightly floured surface; knead lightly 4 times with floured hands. Roll dough into a 12 x 6-inch rectangle. Cut dough into 8 (3-inch) squares using a dull knife or a dough scraper. Cut each square into 2 triangles; place on a baking sheet coated with cooking spray. Sprinkle with 1 tablespoon sugar; bake at 400° for 12 minutes or until golden. Serve warm.