Liverwurst is a general term referring to any liver sausage. Braunschweiger is a smoked liver sausage that is named after the town Braunschweig in Germany. Therefore, a Braunschweiger is a liverwurst, but not all liverwurst are Braunschweiger. There is no specific recipe for either sausage, as they are traditional foods. Braunschweiger is often used as a sandwich spread. Liver sausage also can be smooth and spreadable or used as a paté.