There are 5 Types of Cough with Characteristics, Causes, and How to Help. The types are tickling cough, dry cough, chesty cough, barking or croup cough and whooping cough. Using Dry Cough Syrups, Congestion Relief Syrups, Homeopathic Spongia Tosta, Elderberry Syrup and doTerra Breathe blend can help with these type of coughs.