I'm still not seeing any Buttonizer code on your site.
Are you perhaps using the Buttonizer plugin?
If so, you could add this into the Exclude JS AND Exclude CSS section of WP Fastest Cache.
After adding this into the Exclude JS and Exclude CSS section, clear the cache and see if the buttons will now appear on the site.
If you're using the Standalone version of Buttonizer (app.buttonizer.pro),
Try and see if the code is still in the footer of your site since WP Fastest Cache shouldn't remove this code from any of their setting.
If it's not in the footer of the site, copy and paste the integration code of your site to the footer of your site then clear the cache.