Previous versions of BB FlashBack did offer export to FLV/SWF flash formats, among the other default video options, but unfortunately the latest version of FlashBack Pro / Express no longer offer the support for Flash content.
If you still require the conten in Flash format, you have to use any of the existing export options to make it with the help of another software, or find old version of BB FlashBack somewhere. But direct fbr to swf conversion is not possible.
Updated: October 26, 2023