Preheat the oven to 350ºF/180ºC.
Place diced carrots in a large baking dish.
Add prunes and raisins, then stir to combine.
Whisk olive oil, water, sugar, honey, orange zest, salt, and pepper in a small bowl.
Pour the mixture over the carrots and dried fruits, and add the cinnamon sticks.
Cover with foil, and bake for 30 minutes, basting with pan juices after 15 minutes.
Uncover the pan, and add the pieces of butter or margarine on top. Bake for another 30-50 minutes or until carrots are tender and the sauce has thickened.
Remove from the oven. Serve and enjoy.