How useful is this programme in transferring data from a Sony Xperia to a LG 4G?
No, this application is not useful for transferring the data from a phone to another. This is actually a driver that's installed on Windows to make the phone available in that particular OS. You will need other application to transfer the data from a phone to another.
The easiest way is to use Copy My Data, an Android application that can be installed on both phones. The only requirement is that you connect those phones to the same WiFi network.
However, if you prefer to do this over USB, then Wondershare MobileTrans can help you: https://www.wondershare.com/phone-transfer/