Rinse the lenses with lukewarm water
Add a small amount of mild dish soap and gently clean with a microfiber cloth
Dry with a clean microfiber cloth
Use a lens-safe polishing product made for eyeglasses
Apply a tiny amount of non-abrasive toothpaste to the scratch and rub gently in circular motions
Rinse thoroughly and dry with a microfiber cloth
Try a baking soda and water paste and rub very gently
Use a plastic polish designed for lenses if the glasses are plastic
Take the glasses to an optician for professional polishing or replacement
Replace the lenses if the scratches are deep or affect vision