" The most popular “home remedy” for scratched glasses is applying a paste made from baking soda and water. But, like any at-home hack for removing scratches from glasses, it’s meant to wear away at the coating on your lenses until the scratches aren’t as visible. Not ideal! We’ll tell you how it’s supposed to work, but we definitely don’t endorse it."
Take your glasses to your optician and see what they say. They'll likely tell you to replace the affected lens. It's just a matter of how badly the lens is scratched and if it's affecting your vision. Unless it's a major scratch, you'll likely won't even notice it.
Needless to say, get yourself a proper case, micro fiber cleaning cloth and spray. Never use your shirt, paper towels tissue to clean your glasses.