Hi,
https://www.openstreetmap.org/way/1330285654 and
https://www.openstreetmap.org/way/1330285655
don't look like horse riding centres, they lok like (outdoor) horse riding arenas; and in OSM such riding arenas are usually tagged with leisure=pitch + sport=equestrian, example: https://www.openstreetmap.org/way/1171574117

In JOSM you can use the preset for "Equestrian Sport" to tag them.