I hope you are well today and thank you for your question.
The favicon in Google mobile search is managed by the Yoast SEO plugin that you are using on your website so please contact the plugin support to resolve it.
Thanks for your reply.
Can you please provide some further insights as to why this is the case.
I understand the flavicon is set from “site identify” in appearance.
The Yoast SEO plugin only appears to display the search results. Here, the plugin is showing the correct the flavicon.
The theme just displays a favicon in the browser tab and does not control it in the search results.
You have to either contact Yoast SEO support or Google search support for more information.
You can also refer to the information provided on the below pages.