Hi Sarouna,
Can you please give more details of the issue and attach some screenshot to understand it better.
I think you want a separate header for each category. There is no already existing option for this in the customiser. You need to create separate header files and add the code as you want the display to be.
Please have a look at this page. https://www.wpbeginner.com/wp-themes/easily-add-custom-header-footer-or-sidebar-for-each-category/
They tell you how to attach separate headers for different sections.
Regards
Yashita