A popular though unusual cleaner you can.
How to clean your headlights. Pink foaming car wash soap ($24.99, amazon ). Allow them to air dry for a few minutes before moving to the next step. Use a clean cloth to wash your headlights with car wash soap and water.
Web cleaning headlights with vinegar and baking soda. But for a quick fix the gojo and baking soda works fine. Web sanding the headlights.
Also try an abrasive toothpaste, that works. Get a few grades of wet/dry sandpaper. Web how to clean headlights:
Web you can try 1200 grit sand paper for your finish if you want to fully restore them headlights.