Heat a pan up to medium high; add the onions once up to temperature, let sauté a minute.
Add in your celeriac and carrots and let sauté 3-5 minutes, stirring occasionally.
Add in your shitake mushrooms, continue to let sauté another 5 minutes.
Scramble some eggs in a bowl, salt and pepper them, and then pour them into the pan to scramble around with everything.
Turn off the pan, grate some cheese over top to melt, and then serve with hot sauce.