Short ribs are a popular inexpensive, relatively fatty beef cut that full flavored. They are cut from the rib and plate primal and a small corner of the square-cut chuck. Beef chuck short ribs come in rectangular-shaped alternating layers of lean meat and fat. They contain rib bones, the cross-sections of which are exposed. Short ribs may be long-cooked in a crock pot or marinated and smoked over low heat till tender. They are a juicy and powerful flavored meaty cut. U.S. raised grass-fed beef.