Can I map xbox 360 joypad control buttons on my Xbox series X?

My controller stop working too series x , factory controller . Last night working and today my samsung tv remote control my xbox and the xbox controller no longuer view by the xbox , i use another controller from my other xbox seris s , and this controller work but not the one work last night , i try the little button to match xbox with but nothing , the controller do no longuer view on my xbox series x , can control de series s but can't be view or connect to the series x anymore

Xbox One, Xbox One S, and Xbox One X controllers work on Xbox Series X|S, and vice versa. However, Xbox 360 is on it's own, similar to the OG Xbox.

What's cool however is if you remote stream Xbox One, One S, One X, Series S, or Series X on, say, a PC, you can plug in a 360 controller and use it on the newer generation.

But no, newer controllers aren't supported on 360.

The problem with my LB button working as RB button is on my Xbox series x controller

To refresh the home screen, you can simply press on the Xbox button; then highlight home, press on the menu button. Then press on Refresh

You can check this if you don't know the button's name Get to know your Xbox Series X|S Wireless Controller | Xbox Support

I like the little changes to it, the share button is nice. But I will be using my Elite Series 2 Controller when the Xbox Series X comes out.