Drupal 9 to 10 Migration some TWIG HTML and varaibles are not showing properly for loggedout user

There is not really enough information to help you here. You say the bug is reproducible when aggregation is disabled which is interesting and suggests that perhaps there is a problem in your JS or CSS that is being accidentally solved when aggregation is enabled again.

You need to try and identify what is different about the sections that are not working. Also are there any errors in the Drupal logs or the JavaScript console?

Thank you for your reply. There is no error in db log and JavaScript console. The interesting part the issue does not occur when I am logged in to the site with any role. It is only happening for anonymous users.
For reproducing it locally by xampp I can only see it by disabling aggregation whereas on ngnix server the issue persists either disable or enable.
Also if I remove the whole custom CSS & JS still some footer parts are still not showing on the browser. For different languages, it shows differently. I have not seen this kind of strange behavior in the entire Drupal experience from 7 to 10.

Are you using big pipe module ?

Yes, big pipe is enabled currently. Un-installing big pipe does not resolve the issue.

If it is missing to anonymous only it could be some missing permissions (either general ones or maybe inside group if the module is being used)

Can you confirm you updated the nginx configuration for Drupal 10.1 → ? This is mentioned in release notes.

I made these changes as well today. Still not resolved.

Drupal 10.2 is no longer receiving support.

There has been no discussion here for 11 months. Perhaps that is because this has been resolved? If not, I suggest trying other support options.

The Drupal Core issue queue is not the ideal place for support requests. The 'support request' option is there for filing support issues for contributed modules and themes. There are several support options listed on our support page → (Community > Support at the top of Drupal.org) and there is Drupal Slack → . You may get better replies in one of those places.