If needed, follow these steps to remove and download again songs that were incorrectly saved as Apple Music songs:
In the upper-left corner of iTunes, click the Music icon.
Click My Music.
Control-click the songs that were incorrectly downloaded as Apple Music, then choose Remove Download.
Control-click the same songs, then choose Make Available Offline to download them again correctly as Matched songs.
Information about products not manufactured by Apple, or independent websites not controlled or tested by Apple, is provided without recommendation or endorsement. Apple assumes no responsibility with regard to the selection, performance, or use of third-party websites or products. Apple makes no representations regarding third-party website accuracy or reliability. Risks are inherent in the use of the Internet. Contact the vendor for additional information. Other company and product names may be trademarks of their respective owners.