As Joe D. said, you cannot add custom css classes there because they are set programmatically by design. That is part of the magic that makes the automatic column layout work.
There are ample css classes rendered on those divs so you can either use the ones that already do render there or wrap another div around it if you really need another one. ie you don't really need a "home" css class there since it already has a unique class name that you can use to apply style.