How to relieve cough and diarrhea in a 4-month-old baby

Patient's question:

4 months old
Detailed medical condition and consultation purpose: What medicine can be used for cough and diarrhea? What is the cause? (Cough appeared one week after diarrhea)
Duration and course of the current illness: 18 days
Current general condition: Cough slightly improved, diarrhea not improved
Medical history: None
Previous diagnoses and treatment history and outcomes: None
Ancillary tests: Not performed
Other: None

Doctor's answer:

Basic Water: Prepare 3~5 slices of tangerine peel, hawthorn, and licorice each, add 3 bowls of water and bring to a boil. After boiling, let it cool down, then add a spoonful of honey. This can be used as a substitute for regular water for the baby. Tangerine peel, hawthorn, and licorice all have the effects of aiding digestion, soothing the throat, resolving phlegm, and boosting qi. They are also gentle in nature and can treat various types of coughs. If the baby is under one year old, sugar can be used as a substitute for honey.
Rock Sugar Fritillaria and Pear: If the baby has wind-heat cough, then Rock Sugar Fritillaria and Pear can be used for treatment. Cut the pear in half horizontally, remove the core, and place 2-3 pieces of rock sugar and 5-6 slices of fritillaria in the hollowed-out part. Crush the fritillaria, then cover the pear and steam for 30 minutes. Since both pears and fritillaria are cold-natured foods, they have a significant effect in clearing heat and cooling the body.