Hi. I don't think it is the bracket that is getting stained. It must be the elastic ligatures around the brackets that must be getting stained. This staining will not go away by any mouthwash. I would suggest you to ask your Orthodontist to use wire ligatures instead of elastic ligatures for you. That ways they won't stain and your brackets will keep looking aesthetic.

Colgate phosflur and amflor are good for braces. But staining is caused by turmeric and other food colours. Brush or use a mouth wash half hour after food and dont rinse it off. Use atleast for 2minutes. Swishing with salt in lukewarm water after each meal is good enough to remove all food and stains. Brushing twice is also helpful to reduce stains

Use any mouthwash of your choice. Also use an interdental brush. Its commonly available at all pharmacy shops. Brush twice daily with regular brush as well as interdental brush. You need to do ultrasonic scaling once the braces are removed.

Hello brother,     U can use Rexidine SRS (Stain reduction system) Mouthwash.    But according to me "Proper toothbrusing" always helps reduce the plaque deposits and stains,  if you use any mouthwash.     Change your Ortho toothbrush every 3 months or if you see noticable wearing or bending of bristles.   

What kind of braces are you wearing Ceramic Metal Or Aligners