What is the difference between these two degrees? Which one is better? The only benefit I can think of is that an MBA will allow you to work outside of just engineering.
It completely depends on what you want to do with your career. If you want to engage in more of engineering project management role than a Engineering Managment might make more sense. If you see yourself more in strategy or operational positions within engineering companies, think C-suite type roles, an MBA would be more worthwhile.