Chronic cough non productive, and short of breath with minor activities, what could be the cause?

Too many things to list. You get the most from this site when you provide detailed information followed by a question. This could be as simple as uncontrolled asthma or as worrisome as heart failure. I would schedule a visit with your doc as soon as possible.

A pulmonary evaluation is indicated. Pulmonary testing with and without a bronchodilator is recommended. Asthma should be considered. A virtual consult with Healthtap is available.