What sports are most likely ro result in rotator cuff injuries?

Many culprits. You're most likely to see rotator cuff injuries in either sports with repetitive motion (baseball, tennis, golf...) or with impact force (football, rugby, hockey, cycling...).
Baseball. The throwing sports such as baseball, softball. The demands on the throwing shoulder are extremely high on the rotator cuff, and can cause tears.
Multiple. As the rotator cuff helps to maintain a stable center of rotation for the shoulder, any activity that taxes this function can result in rotator cuff injury. This means high speed sports, overhead sports, contact sports, and also repetitive sports learn more here: http://theshouldercenter.Com/rotator-cuff-tear.Htm.