Preheat the oven to 400 degrees F. Cut squash in half lengthwise. Scoop out the seeds. Drizzle with olive oil and sprinkle with a pinch of salt and pepper.
Add the garlic, mushrooms, thyme, and a dash of salt and pepper and continue to sauté until mushrooms are tender and their liquid has evaporated. Stir in 2 cups of the cooked quinoa, soy sauce, and vinegar.