I do not know if it will work for a special post-Covid cough but when I read years ago that a substance in 70% Dark Chocolate reduced cough better than Codeine I was highly skeptical but it worked when I tried it myself.
sample quote Previous research at the National Heart and Lung Institute in the UK showed that the cocoa ingredient called theobromine was even more effective than the widely used drug codeine in blocking the action of the sensory nerves that triggers the cough reflex. ...snip... A persistent cough (chronic cough) is a cough that lasts eight weeks or longer. Some of the symptoms of coughing include loss of sleep, sore chest muscles and leaking urine. In severe cases, a chronic cough can lead to vomiting, rib fractures and lightheadedness. ...snip... In the study, participants were given a single dose of 1,000mg of theobromine. However, an unsweetened dark chocolate bar contains about 450mg per ounce, sweet dark chocolate contains around 150mg and milk chocolate contains about 60mg. end quote
I put pieces of 70% Dark Chocolate under my tongue and let it dissolve.
Ricola cough drops from Switzerland seem to be the commercial drop that works best for me.
Another “odd” way of reducing coughing is ... no kidding... to rub Vicks Vapo Rub on the Bottom of Your Feet.
I also did not think that would work but it did. Weird.
My brother had a bad cough that nothing seem to work on until he tried Nexium heartburn drug. His cough turned out to be a hidden symptom of acid reflux.