If it's any comfort, I've been there.
Coughing after eating is likely acid reflux; at least it was in my situation. There are various medications you can take to tamp down the acid; are you taking anything right now? Since you mention "euro" you must be in Europe. I'm not sure they have Tums there (calcium antacids), but eating some Tums after your meals can help.
I've also had reflux cause bronchitis as well as worsen my asthma, and cause sinus symptoms that feel like a sinus infection (but look different on a sinus CT scan). The acid that is refluxed can irritate your throat and nasal passages, causing hoarseness and runny nose. Reflux can also cause asthma-like symptoms as the acid irritates the lungs. So these things can be all inter-related.
In my case, it was my asthma inhaler that was causing the reflux. I was taking Symbicort as my asthma controller medication, which contains a long-acting bronchodilator. Long-acting bronchodilators relax smooth muscle, not only in the lungs, but also in the lower esophageal sphincter (LES). A relaxed LES promotes acid reflux.
Once I discontinued the Symbicort (working with my allergist), my reflux has gotten much, much better and I hope that shortly it will be completely gone. The reflux did take about 2 years to develop, so perhaps it may take time to go away.
Other than reflux meds, you may also want to adopt a anti-reflux diet and use other lifestyle changes to decrease reflux. (The Web is full of resources on this.) Foods that may trigger reflux include mint (including toothpaste), chocolate, coffee, milk, citrus or tomato and other acidy foods.
Hopefully sharing my story has given you some ideas to take back and discuss with your doctor, and some practical suggestions that you can try on your own. Take care and good luck. Judy