Hello,
There is no relation of farting and
pink eye.
Pink eye can be due to conjunctivitis, uveitis, dry
eye, blepharitis, angle closure glaucoma, subconjunctival haemorrhage, corneal infection, injury, contact lens wear and allergies. I would suggest you to get it evaluated from an ophthalmologist.
It is very difficult to precisely confirm a diagnosis without examination and investigations and the answer is based on the medical information provided.