The brown sauce we all love at American Chinese restaurants is usually just called "brown sauce." If you're looking for the Chinese word, I can't help you out. Maybe one of my readers can, I'd love to hear from you. The brown sauce is usually made with soy sauce, broth, rice wine vinegar, brown sugar, sesame oil, oyster sauce, and cornstarch for thickening. Recipes vary widely (I used Fly By Jing as my reference). Brown sauce is somewhat similar to teriyaki sauce.