Place tofu, olive oil, brown rice vinegar, sea salt, pepper and Edensoy in a blender. Blend until smooth. Add more salt and vinegar to taste, if desired, adjusting Edensoy to create a smooth creamy sauce consistency.
Remove shiitake from soaking liquid and save liquid. Remove stems, discard and slice tops. Bring soaking liquid to a boil, add shiitake slices, reduce flame to medium-low and cook 20 minutes until shiitake are soft.
Wash button mushroom caps, discard stems and slice tops. In a skillet, heat oils, sauté onions and mushrooms until mushrooms are soft. Add shiitake slices with a small amount of shiitake cooking liquid, heat thoroughly. Lower the heat, add tofu mixture, heat thoroughly while stirring frequently.
Cook pasta as package directs, rinse and drain. Serve sauce over pasta or mix pasta in with the sauce. Garnish with parsley or green onions.
For a spicier flavor, season with cayenne and cumin to taste, if desired.
Per serving - 331 calories, 9 g fat (25% calories from fat), 19 g protein, 45 g carbohydrate, 5 g fiber, 0 mg cholesterol, 238 mg sodium