Heat oil in a large nonstick skillet over medium-high heat. Add carrots and onions; reduce heat to medium, and cook 25 minutes or until golden, stirring frequently. Stir in apple juice and remaining ingredients; cover, reduce heat, and simmer 15 minutes or until carrots are tender, stirring occasionally.
Note: True baby carrots are usually sold in a bundle with their green tops intact. They are sweeter than the smaller carrots sold in a bag.