Preheat a large stock pot over medium heat. Add the oil and sauté the onions and peppers for about 10 minutes, or until onions just begin to brown.
Add the ginger and garlic and sauté a minute more. Add the salt, Chinese five spice, acorn squash and pear and cook for another minute, stirring often. Add the vegetable broth. Cover and bring to a boil. Once boiling, lower the heat just a bit to simmer briskly for about 20 more minutes, or until the squash is tender.
Puree half the soup using either an immersion blender or by transferring half the soup to a food processor or blender and then back into the rest of the soup (don’t forget to let the soup cool a bit so that the steam does not compress in the processor and kill you).
Add the aduki beans and lime. Cover and simmer on low, just until the beans are heated through. Meanwhile prepare the mushrooms.
Preheat a heavy bottomed skillet over medium high heat. Add the oils and sauté the mushrooms for about 7 minutes, until they are soft. Add the soy sauce and stir constantly until the soy sauce is absorbed (about 1 minute).
Ladle soup into bowls and top with sautéed mushrooms.