Disqus manually sync when I click but not automatically. How do I fix it?

Disqus comment plugin has stopped automatic comment syncing with database. Now it only works when I click the manual sync button or run wp-cron.php on my browser.

I've tried couple of techniques, used cpanel cron, and also tried with wp-control plugin, but it didn't work. I was only able to make it work with manual syncing.

I contacted Disqus support but they referred me to their sync troubleshooting page what I've already tried. I'm not a big fan of using Alternate Cron since it adds a query every time in the url.

I haven't made any remarkable changes in the files between that time. And I asked my hosting provider HostGator who said everything is fine from the server side.

So is there any solution to make the automatic sync work? I'm very desperate about it.

My site is: http://ift.tt/1b5o7ki