Hi,
https://www.openstreetmap.org/way/275833045
and
https://www.openstreetmap.org/way/1236700645
look like buildings on Bing, but you have (re)tagged  them as riding centres. In OSM every building  should have a building tag in order to be rendered as a building on the map. For different building types we have different building tags, e.g. building=stable, building=riding_hall, building=barn, ...
The tag leisure=horse_riding is for the whole area of a riding centre (and not for some buildings of it).
Compare
https://wiki.openstreetmap.org/wiki/FR:Équitation
https://www.openstreetmap.org/way/198048577 (example)