If you don't count the shield and "supercups", both Liverpool and United are on 42 (we're on 44 if you include the defunct intercontinental cup and the World Club Cup which Liverpool haven't won either of, though those are pretty much supercups too)
Including all shields and supercups we're on 66 and Liverpool are on 61.
If you discount shields, but include supercups, we're on 45, Liverpool are on 46
I don't know why you'd discount the shield, but not the supercups. They're the same thing. A playoff between 2 winners.