If a one-and-a-half-year-old baby has a cough and runny nose, you can choose the right medicine for your baby to take orally according to the color of your child’s nose, such as clear nose, which is caused by a cold virus, resulting in cough and runny nose. 1. If the cough and runny nose are caused by a bacterial infection, it is necessary to give the child antibiotics and anti-inflammatory treatment. If you are not allergic to cephalosporins, you can take pediatric cefaclor granules or pediatric cephalexin granules, which have good anti-inflammatory effects. 3. For coughing, you can also use cough expectorants, such as pediatric aminoglutethimide oral solution.