I'm sorry I don't know anything about Wii games.
I gave up on consoles years ago and have no first hand information, but according to this webpage on Nintendo's site, "Wii U" can use Wii discs.
https://www.nintendo.com/wiiu/built-in-software/wii-menuHowever that site also says
"Enjoy
nearly all of your existing Wii games on your new Wii U console"
which is not the same as "all."
Maybe someone else will have first hand experience with the Wii U and can explain the "nearly all" part.