Calls are not automatically transferred to new device as privacy principle, ACR does not store any information outside your phone.
You can however transfer them by yourself.
Make sure both phones have the latest version of ACR and connected to the same WiFi network. Open ACR on the previous phone and go to ACR Settings> Recording Transfer and select Send.
Do the same thing on the new phone but this time select Receive and enter details shown on the previous one and select download.