Shiitake Mushroom Udon Noodle Soup

Name: Shiitake Mushroom Udon Noodle Soup
Ingredients: 8 ounces udon noodles; 6 cups vegetable broth; 2 tablespoons soy sauce; 1 tablespoon Mirin; 1 tablespoon red miso paste; 1 teaspoon sesame oil; 1 tablespoon vegetable oil; 1 cup whole shiitake mushrooms, stems removed; 1/2 yellow onion, thinly sliced; 1 carrot, thinly sliced into 1 inch pieces; 1 inch fresh ginger root, minced; 2 teaspoons garlic, minced; 4 cups napa cabbage, chopped into 1 inch pieces; 6 ounces firm or extra firm tofu, cut into half inch cubes; Thinly sliced green onion, sesame seeds, and Togarashi spice to garnish