Automating Company to People Table Linking for Efficient Updates

I have set up a Find Companies Table and in the end a cell with their native "Find contacts at this company". I have then set up another table "Find People from Find Companies Table" where the people should appear. Now when I've added another row in the companies table the People Search cell for that row does run, and it does say "People Search Updated", but no new people are added to the other People table. When I look at the search query in the People table that is updated though. But how do I make it so that new people are added to the People table when the People Search cell is run in the Companies table?