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The general outline of this therapy can be found here: Best natural cough treatment. This is the way how you can stop coughing for good. An additional factor to stop coughing naturally is to use Earthing for grounding the human body to get Earth's electrons to reduce inflammation.
Make the coughs short and sharp. Push on your belly with your arms as you cough. The first cough brings the mucus through the lung airways. The next coughs bring it up and out. Inhale again, but do it slowly and gently through your nose. Do not take quick or deep breaths through your mouth. It can block the mucus coming out of the lungs.