You can see your recent calls made to your Call Control Home device right from the Call Control Home iOS app.

Simply open the Call Control Home app and tap Recents from the lower menu.

Call Control Home iOS app will connect with the Call Control Home device via WiFi and will sync application data including the call history.  Note that it is currently required that Call Control Home app and the Call Control Home device be on the same WiFi network.

Recent Calls on iOS app: