Combine water, 2 tbsp. butter, rice and contents of seasoning packets in a large saucepan. Bring to a boil, cover tightly. Simmer until all liquid is absorbed, about 25 minutes.
Melt remaining butter in a 10-inch skillet. Off heat, stir in liqueur and then add brown sugar, allspice and carrots. Cook, uncovered over medium heat, stirring frequently until carrots are crisp-tender, about 5-7 minutes. Stir carrots gently into hot cooked rice. Sprnkle with pecans.