No of those apps has an update firmware function, it happens automatically, as I remember. But make sure that you have not blocked internet access to the device.
But for forcing an update, as I recall, you need to unplug the device, wait a minute, plug it back and turn it on. Once connected to the wifi and internet it will try to update the firmware automatically.
Otherwise, use the @kongo09 version of the integration, that is updated continuously. Above your post there is alink to that one.