I don’t understand
suggestion - Report Notifications
I think that you meant that you can easily oversee who got muted or banned.
A simple fix would be to block them.
That would get you an entry in your blocked list, which you can then have a look at in your settings (social → blocked users;). Only you can see that list.
Greetings and have a nice day!
this is the message they sent me-
CHESScom
47 minutes ago
Dear Reflection
We appreciate you taking the time to file an abuse report. We have reviewed your case and taken action. Your report matters, and we investigate every case of offensive behavior to make Chess.com a fun, safe, and fair place.
If you'd like to learn more about how we deal with reports and find additional support, please read our Safety Guide.
Thank you very much,
Chess.com Support
chess.com/support
who did I get reported
this is the message they sent me-
CHESScom
47 minutes ago
Dear Reflection
We appreciate you taking the time to file an abuse report. We have reviewed your case and taken action. Your report matters, and we investigate every case of offensive behavior to make Chess.com a fun, safe, and fair place.
If you'd like to learn more about how we deal with reports and find additional support, please read our Safety Guide.
Thank you very much,
Chess.com Support
chess.com/support
who did I get reported
That’s what I was trying to tell you:
You should keep a list where you block the people you reported.
That way, you can keep track of who was banned for abuse or not.
(By checking their profile in the list.)
There’s no other way…
But, I get your suggestion. It would take chess.com a lot of time to implement that they’d send you who was banned for your report though. There’s a whole system behind it too.

It seems in previous versions of this message/other automated messages sent for similar reasons they say specifically that they don't want to say names and why.
when you report someone and they get muted or banned, say who as muted or banned
I hate guessing who I got muted or banned
its for the automated message of
thank you reflection for reporting this user
it would be helpful imo