Hi,
https://www.openstreetmap.org/way/1287778318 and https://www.openstreetmap.org/way/1287778319 are no horse riding centres and no trail riding stations. They are outdoor riding arenas (or perhaps paddocks), and in OSM riding arenas are usually tagged leisure=pitch + sport=equestrian. Compare https://wiki.openstreetmap.org/wiki/How_to_map_a#Riding_centre_(equestrian) and https://www.openstreetmap.org/way/1058126577#map=17/52.47159/17.03746&layers=P (example).