Preheat oven to 400°.
To prepare pork, rub pork with oil and garlic; sprinkle with 1/2 teaspoon salt and 1/4 teaspoon pepper. Place pork on grill rack or broiler pan coated with cooking spray. Bake at 400° for 30 minutes or until a thermometer registers 160° (barely pink). Let stand 5 minutes before slicing.
To prepare sauce, heat a medium saucepan over medium heat. Coat pan with cooking spray. Add shallots, and cook 1 1/2 minutes or until tender, stirring occasionally. Stir in cider, broth, applesauce, 1/2 teaspoon salt, five-spice powder, and 1/4 teaspoon pepper; bring to a boil. Cook cider mixture until reduced to 1 cup (about 10 minutes); stir in 3 tablespoons fresh lemon juice. Serve sauce with pork.