Types of Entrees. Tchoupitoulas sauce is a tasty addition to many meat dishes, including fish such as halibut, trout or salmon; veal chops; shrimp; chicken and oysters. It is often served in conjunction with other popular sauces such as Bearnaise.ngredients. The base ingredients of Tchoupitoulas sauce are butter or a butter/margarine mix, Cajun seasoning, and cayenne pepper. Other ingredients are added, depending on the flavor desired or the meat or fish used.