Place the first nine ingredients in a blender; cover and process until smooth. Add broth; pulse to combine.
Place roast and bay leaves in a 4-or 5-qt. slow cooker; pour sauce over top. Cook, covered on low 7-9 hours or until meat is tender.
Prepare rice about 30 minutes before serving. In a large saucepan, combine water, rice, butter and salt; bring to a boil. Reduce heat; simmer, covered 12-15 minutes or until liquid is absorbed and rice is tender. Remove from heat; gently stir in cilantro and lime juice.
Remove roast from slow cooker; cool slightly. Discard bay leaves and skim fat from cooking juices. Shred beef with two forks; return to slow cooker. Service with rice.