Combine ½ cup soy sauce, honey, balsamic vinegar, rice vinegar, peanut butter/tahini, molasses, 1 tablespoon ginger, 1 clove garlic, and ⅓ cup water in a bowl.

Cook the noodles according to package directions. Drain. To the pot used to cook the noodles, add the broth and ½ of the soy sauce mixture. Bring to a simmer over medium heat, stir in the spinach. Keep warm.

Heat the sesame oil in a large skillet over medium-high heat. When the oil shimmers, add the mushrooms. Cook undisturbed for 5 minutes or until golden. Add the shallots, 1 tablespoon ginger, and 2 cloves garlic. Cook 4-5 minutes, until fragrant.

Add 2 tablespoons soy sauce and a large pinch of pepper. Cook another 2-3 minutes, until the mushrooms are caramelized. Add the sesame seeds, cook 2 minutes. Spoon the mushrooms out of the skillet and onto a plate.