Heat 2tbs of olive oil in a small to large skillet over low heat. Add the minced garlic and sauté until fragrant and starting to turn golden, about 2 minutes. Pour in the wine and increase the heat to medium. Bring it to a simmer and stir occasionally, not allowing the garlic to burn, for about 10 minutes, allowing the wine to reduce by half. After 10 minutes, measure the liquid to make sure that it has reduced by half. If it has not, add it back to the pan and keep simmering until there is about 1/4 cup of liquid. Don´t wash the pan, we will use it later!
In a blender, combine the garlic/wine reduction, silken tofu, nutritional yeast, white miso paste, white vinegar or lemon juice, 1/4 cup olive oil, water, and salt. Blend on high, stopping to scrape down the sides, until a silky sauce forms.
Meanwhile, heat a large pot of salted water for the pasta. Cook pasta according to package instructions, until "al dente", generally 2 minutes less than the full cook time for pasta. When the pasta is finished, drain and reserve about a cup of the pasta water. Drizzle the pasta with olive oil and mix to keep it from sticking together. Continue to the next step while the pasta is cooking.
In the same pan that you used for the garlic and wine, heat 2 tablespoons of olive oil over medium heat. Add the mushrooms and a couple of generous pinches of salt. Sauté, stirring frequently until the mushrooms have browned, about 6 minutes.
Add the blender mixture to the skillet with the mushrooms and mix well. Add the pasta and about 1/4 cup of the pasta water and mix well until the silky sauce evenly covers the pasta. Enjoy!