Every clear night, survey telescopes in Arizona, Hawaii, Chile and elsewhere photograph the sky and look for points of light that move. Each sighting goes to the Minor Planet Center. From there, NASA's Center for Near-Earth Object Studies works out every new orbit and adds the passes to the list this page uses.
The newest eye is the Vera C. Rubin Observatory in Chile. It photographs the southern sky again and again, and is expected to find many more small asteroids. That is part of why the count of known asteroids keeps climbing. More passes on our list does not mean more asteroids. It means we see more of the ones that were always there.