Thanks for the screenshots and link for the application.
We have checked the application and the plugin settings. Despite the correct settings of the plugin, the reason for the mentioned issue with Safari Browser and mobile devices was not defined.
As we can see from the page, where this plugin is placed, you have many searching flows, which could affect the plugin’s work and prevent matches from being displayed.
Allow us to propose you create another page in your application, using the Fuzzy Search & autocomplete plugin and check if it works correctly on another page.
We are sorry for this inconvenience.
Looking to hear you soon after checking this plugin on another page.
Zeroqode Support Team