What is the most energy efficient way to cook meat on an electric stove?
As @Jefromi says, there is no simple answer. Also depends on your definition of "cooked".


For water vs oil,  most likely oil is more energy efficient. Frying a 16 oz steak takes only ~5/10  minutes, whereas boiling 16 oz of meat in water will take at least double that time, even if you use exact same pan and exact same stove. If you cut the meat more strategically, you can save some energy, which brings me to 2nd point.
The shape of the meat will have a big influence. For example, a 1 inch thick tenderloin will take considerably more energy to "cook" compared to 4 tenderloin steaks of quarter inch, assuming you can lay all 4 steaks in a pan together.


There is a saying that in ancient China, stove fuel was hard to come by, thats why they always used to cut the meat as thin as possible so that the dish finishes cooking fast with minimum stove-time. Don't know if its historically accurate, though :)