Live Link conflict with Site Name

When I access my local site through a Live link on LBF, something strange happens, which I want to know how to fix.

My site name and WP installation are “una”. And when I open the live link, it replaces everything that has “una” (image names, text…) for the link. And this actually breaks my layout, stopping me to check the responsiveness on phones and tablets for example.

How can I fix it?