Help with Magento1 Cron Job

Hello to you all,
this is my first time in this community and hope someone can help me.

I have a Magento site hosted on sitegroung at a dedicated server.
The website runs well but the Cron Job is not firing. I have contacted the hosting support team according to them it is working, but I see that my catalogs are not updating. We use a module which syncs the catalog from a provider onto our website. The provider of the module also insists that the cron job setup is incorrect on our site.

Please I ned your help

Thanks

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