It depends on which method you use for forwarding the text. "Call forwarding" text messages are very different from regular SMS alerts which come from your contacts or other senders. If your telecom provider offers a call forwarding service, it allows you to reroute your unanswered calls to another phone number as an alert.
The call forwards are unique to a particular phone device. This means you cannot access call forwarding alerts on Android using any Google Play apps. However if you have enabled receiving calls from Android on a Windows computer, the forwarded messages can be received including "Call forwarding."