Hi,
https://www.openstreetmap.org/way/1164852728 and
https://www.openstreetmap.org/way/1164852729
don't look like a riding centre, they look more like riding arenas. The wiki recommends to tag riding arenas leisure=pitch + sport=equestrian. Compare
https://wiki.openstreetmap.org/wiki/Tag:leisure%3Dhorse_riding

