Hello,
The horizontal grid there seems to be a custom-coded solution for that website’s theme. While in-depth code customization help is outside the scope of the support we can provide here, there’s a function called tribe_get_events() that should make querying for upcoming events somewhere in your theme – like a custom homepage template – quite simple. Learn more about that function here → http://docs.tri.be/Events-Calendar/function-tribe_get_events.html
Our tutorials might have some helpful information, as well. You can check them all out here, and for example, this tutorial article covers how to use that tribe_get_events() function in depth → https://theeventscalendar.com/queries-and-pagination/
Let us know if this helps! 🙂
— George