2.5 year old , green liquid diarrhea

Hi, welcome to the ehealth forum and I am glad to help you.
You seem concerned by the green nasal discharge from your toddler's nose.
The most likely possibility might be the common cold infection leading to greenish nasal discharge. It is caused by a few hundred different strains of different viruses, including strains of rhinovirus, parainfluenza virus, coronavirus, respiratory syncytial virus (RSV), adenovirus, and influenza virus. The symptoms of the common cold include a runny nose with clear, yellow or green discharge, a cough, fever, sore throat and irritability. Symptoms usually last ten to fourteen days and will resolve on their own. Because the common cold is caused by viruses, antibiotics are not effective against it and they will not help you get better any faster.
You must consult your baby's paediatrician for definitive diagnosis as the same cannot made online
Hope this helps. Take care.
Note: This post is not to emphasise final diagnosis as the same cannot be made online and is aimed just to provide medical information and no treatment suggested above be taken without face to face consultation with health care professional.