Burgundy sauce is a classic French sauce made with red wine, shallots, and beef broth. However, there are many other ways to create a rich, flavorful sauce with a deep, red color. Some synonyms for burgundy sauce include red wine sauce, Bordeaux sauce, wine reduction sauce, and Pinot Noir reduction. These sauces all start with red wine, but can be flavored with a variety of herbs and spices such as thyme, rosemary, and garlic. Other ingredients to add richness and complexity include butter, cream, and mushrooms. No matter what you call it, a rich, flavorful sauce is an excellent way to add depth and complexity to any dish.