I am seeing that the formatting of the links is changing after making the page public. In the space I am seeing proper visualisation for youtube video icons but as soon as I make the space public and open the external link, I see plain links
@mohan_mishra Welcome to the Atlassian Community.
Smart links are currently not supported on public facing pages and the links will revert to the URL. I suggest adding the links with text to get the list the way you are looking to display it - which will be cleaner than the URL display.