Favicon Not Showing in Google Search Results

Looking over your site I see that favicon is loading.
As a guideline I would look over: https://developers.google.com/search/docs/appearance/favicon-in-search?hl=en
Also when did you changed it? it takes a few time for google to update it.

Please keep me posted ??

What do you mean is loading? Are you refering to the second link I shared with you? If so, yes it is loading.

As a guideline I would look over:?https://developers.google.com/search/docs/appearance/favicon-in-search?hl=en

Do you mean it is mandatory to define a favicon to show in search results?

I didn’t change my favicon. It was configured in my WordPress website for many years now. However, since I started using LiteSpeed Cache plugin, the favicon stopped showing up. And it’s been several months, another default favicon is displayed instead.

Yes, is mandatory to add a favicon to site.
The field from WP is being user OR not used by the theme and plugins(depends if they add support for this).

I see you have All in One Seo. Look over: https://aioseo.com/docs/how-to-display-a-favicon-in-search-results/ this will help you adding icon to Google Search

I already added a favicon to my site. Like you saw, the file is being uploaded.
The field from WP you’re talking about is this line of code in the header.php file in my theme?
<?php wp_head(); ?>

Can I add <link rel="shortcut icon" href="https://dubai-cosmetix.com/wp-content/uploads/2021/01/dubai-cosmetix-favicon.png" type="image/x-icon" /> in the header.php file in my theme?

Yes
Also AIOSEO has the functionalities present: https://aioseo.com/docs/how-to-display-a-favicon-in-search-results/

I have had already added a favicon to my site.
Now, I just added the link tag in the header.php in my theme.
That’s what AIOSEO and Google Search Central recommend.
However, my favicon is still not showing in search results.

I think the search result may not be real-time , it could take some time to re-crawl them

The issue is still not resolved.
I have still this default favicon instead of mine.
How can I make sure my change will be effective?

please create a ticket by mail to support at litespeedtech.com with reference link to this topic , we will investigate further.