Coughing with difficulty breathing can be due to conditions like asthma, allergies, bronchitis, infection, or sometimes acid reflux. Try to rest, stay hydrated, avoid dust and smoke, and use steam inhalation for relief. If you have a history of asthma, use your inhaler as prescribed. However, if breathing difficulty is moderate to severe or worsening, seek medical care immediately. A doctor may need to examine you and advise medicines like inhalers, anti-allergy treatment, or antibiotics, depending on the cause.