Coughing, in the language of TCM, is simply a failure of the natural descent of Lung Qi, or a rebellion of Lung Qi upwards. There are two general mechanisms: Lung Qi which is too weak to descend, and simply ‘floats’ upward or blockage of Lung Qi’s downward movement by a pathogen.
There is never one simple diagnosis cough, the aetiology in TCM for cough varies very much. Mach your self to see what kind you are