Can work fine with cdn path?

I have a blog project with two domains..

the first domain is for the main website, while the second domain is used as a cdn

i am setting cdn domain in litespeed plugin https://prnt.sc/PK_lkJo_uIyN

all assets like css and js are loaded from the cdn domain https://prnt.sc/pqGusfLhN9pE

settings in both domains are the same

https://prnt.sc/LxO5HYJ6Hykg

https://prnt.sc/AQe0byQPs2oy

https://prnt.sc/49rDnRR1xmvx

but the name of the theme and plugin cannot be hidden.. the theme and plugin remain with the original name,

can I get a recommendation for settings, if the conditions above can indeed be applied?
or can I ask you to make an HMW plugin so that the conditions above can run properly?

i hope you can understand what i mean,

thank,