Combine the meat, garlic powder, onion powder, salt, pepper, and oregano in a large bowl. Mix with your hands to combine but do not over mix. Form into two patties.
Place on a pre-heated grill pan or outdoor grill and cook for 5 minutes on the first side; flip and cook an additional 3 to 5 minutes on the other side (depending on how you like your burger).
While the burgers are cooking, cook the mushrooms in a saute pan over medium heat with olive oil. After they cook for 5 minutes, add salt, pepper to taste and the red wine. Cook the mushrooms until all of the wine is absorbed into them and lightly browned.
Top the burgers with goat cheese, mushrooms and other toppings.