Both .rex and .rc2 files are audio loops from ReCycle, and .rex format is actually the default and main file type the tool uses. Export to other formats is certainly possible, but in case of .rc2 files this might be possible only with specific version of the tool. There doesn't seem to exist converter for this, but if you struggle with this export, perhaps it would be best to reach out to the sizeable Recycle online community.
Updated: July 19, 2023