Finely chop the onion and mushrooms.
In a bowl, mix ground beef and pork, chopped onion, breadcrumbs, eggs, salt, and pepper well.
Shape the mixture into round, flat patties.
Heat cooking oil in a pan and cook the patties on both sides until golden brown.
Remove the steaks, melt butter in the pan, and sauté the mushrooms.
Add Worcestershire sauce, tonkatsu sauce, water, and pepper to the mushrooms and simmer to make the sauce.
Pour the mushroom sauce over the cooked Hamburg steaks to finish.