Combine applesauce, honey, oil, cinnamon, and ginger in a small saucepan; cook over medium heat 2 minutes or until honey melts, stirring occasionally.
Pour applesauce mixture over oat mixture, stirring to coat. Place mixture in a jelly roll pan, and bake at 375° for 20 minutes. Gently stir granola; bake an additional 15 minutes or until dry. Cool; stir in apricots and cranberries. Store in an airtight container.