Preheat oven to 350°.
Place carrot and potato in a 13 x 9-inch baking dish. Drizzle with oil, and toss well. Sprinkle apricots, sugar, raisins, salt, and pepper over potato mixture; toss to combine. Combine ginger ale and juices; drizzle over potato mixture. Bake, covered, at 350° for 1 hour and 15 minutes or until potato is tender, stirring once after 45 minutes. Uncover; bake an additional 15 minutes or until liquid is slightly thick.