Caching question

Hello again, I come back with yet another question regarding the theme.

I have caching issue I want to resolve and I think is theme related,

For example after I make a new post, clicking on the “site title” while logged in on the site, the post will be displayed in the front end.

But if I log off from the site and click on the “site title”, the post will not be displayed.

While logged off the post will display only if I refresh the page.

I tried it on different browsers, many times and different examples to avoid browser caching and so on and I get the exact results.

Could this be fixed somehow?

Thanks