Layout Question - No Search to Add Related Event in eB Web

I've implemented the Project Object for a customer and have been able to get the Events to show up underneath in eB Web. My issue is that it does not allow me to add new events on the Project by search (for example, documents can be added via basket, search, or typing a name in). The Events only allow the use of the basket to add them in. I've looked in Layout Editor and Director and cannot seem to find where this setting is configured. Any ideas? Is it possible?