Hi,
https://www.openstreetmap.org/way/1019565744 and https://www.openstreetmap.org/way/1283289605 lookmore like riding arenas than like riding centres. In OSM riding arenas are usually tagged leisure=pitch + sport=equestrian. The tag leisure=horse_riding is for the whole facility, in this case it could probably be added to https://www.openstreetmap.org/way/128328961. Compare
https://wiki.openstreetmap.org/wiki/How_to_map_a#Riding_centre_(equestrian)
https://www.openstreetmap.org/way/1220983615#map=18/10.42636/-66.80207&layers=P
https://www.facebook.com/clubhipicocaracas