Suggest Treatment For Mild-to-moderate Asthma Who Has A Week-long Cough With New Mucus Production

Hi there, I have mild- moderate Asthma, long history. I have had a cough for about a week, I saw a dr. last week at the beginning of the cough and she said it didn t sound like I had an infection, and was moving air well. I m still moving air well and duo-neb treatments are helpful, however I am now having some production with my cough/clearing of throat. My airway feels sticky/gunky and irritated. I am on duo-neb every 6-8 hours, and a steroidal inhaler. thoughts?