What causes puffy under eye bags and dark circles under the eye? how to get rid from this both condition?

Apply twice daily icepacks to your eyes for 5-7 minutes and then lubricate eyelids gently with Aquaphor or even Vaseline

Cool compresses are a first step. More rest and less stress probably are also of benefit. If it doesn't improve, see your ophthalmologist. Proptosis, or bulging of the eyes themselves, can be a sign of thyroid disease or tumors. If this is purely a cosmetic issue, an oculoplastic surgeon can help.