When cooked, this melts into juicy flavor. Ribeye has lovely marbling running through the meat which caramelises when cooked and bastes the meat with irresistible flavour whilst tenderising the joint. But because t-bone steaks cook more slowly, they provide a little wiggle room in terms of overcooking, but they can also make it more difficult to cook the whole steak evenly. Ribeye steaks are one of the most flavorful cuts of meat because of their marbling, or fat content. You may see a bone-in rib-eye labeled as "rib steak." How to Cut Rib Eye Steaks. In the United States, the term rib eye steak or Spencer 2 comments. Some refer to it plainly as the ribeye, while others call it a rib steak.