Heat olive oil in a large skillet set over medium-high heat. Add onion, stirring occasionally and cook until soft, about 7 minutes. Add garlic and cook for 1 minute.
Add ground beef to skillet, breaking it up with a wooden spoon cook until browned about 10 minutes. If there’s excess fat, drain it off.
Stir in oregano, nutmeg and Tabasco sauce.
Add mushrooms and cook until soft, about 5 minutes.
Add fresh spinach and cook until wilted, about 3 minutes.
Stir in eggs and cook until set, about 4 minutes.
Stir in Pecorino-Romano cheese, salt and pepper. Serve immediately.