I assume the shown view is a week view, which renders the multiple events. That view does not support more-events button like the one in the month view.
However, by creating a custom view (http://docs.telerik.com/kendo-ui/controls/scheduling/scheduler/how-to/custom-views/custom-view) you can further customize and adjust the way slots and events are rendered. A very basic example of the more-events button in a custom MultiDayView is available in this dojo here: http://dojo.telerik.com/aSekU.
It might need, however, to be further tweaked and adjusted as per to your exact needs and requirements.
Also if you have the time, I encourage you to post a feature request for such a button to be included built-in in the MultiDayView views so that it is properly implemented and available.