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Unfortunately, an anti glare matte protector's main purpose is to prevent glare/reflections, and create a soft matte touch & texture, which for some people (like me), helps with comfortability.
So in terms of preventing or restricting/subduing harsh backlighting, it'll only have a very subtle effect, and may not even be noticeable. So I don't think it'll work well strictly for that purpose.
However, you can look into a privacy protector, which may help to dim & darken a display (as these types of protectors are tinted). I'm unable to advise on which brand to use, as I've rarely ever used privacy protectors on smartphones (but have used them on monitors/laptops in the past).
Another option to consider is using a filtering app, such as Twilight or Screen Dimmer (by REWHEX). These types of apps can help dim harsh backlighting, albeit only on a superficial (overlay) level.
I use sites like amazon & ebay to purchase my matte protectors, and they have not always been model specific. I try to buy ones that are closest in size/dimensions, and on some occasions, I've had to physically cut them to size to make them fit.