I am guessing that you refer to the AppBuilder’s VS extension and the push notifications for hybrid apps. The Kendo UI framework is not relevant to the push notifications client-server interaction.
In fact, there is a more up-to-date article on integrating push notifications in a hybrid app built with Telerik AppBuilder and Telerik Backend Services. You can find it here. By following it you will be able to get the things up and running and deploy to an Android device (notifications will not be received in the simulator).
It is noteworthy to know that when you create a push message in Backend Services, it is dispatched to the respective push notifications servers (in the case of Android – Google Cloud Messaging). Kindle Fire HD cannot receive notifications from GCM, which is why you do not receive the notifications on the device.