Oops, sorry. I am not aware of any software that lets you use other consoles controllers on the Wii. There is hardware, but I don't think it will connect DS5 to Wii. Brook make converters that let you use a DS4 as a Wii Classic Controller:
https://www.brookaccessory.com/detail/66392028/ (same hardware is used for Wii through to Switch, but there are different firmware variants - the Classic one makes the controller appear as a Classic Controller), and ones that let you use the DS5 with the Switch, but I don't think they will work for you.
My Mate Vince has a video about using many different controllers on Wii, and chains a Mayflash Magic-NS to the DS4-to-Wii dongle
. This might work for you if you get the DS5 to appear as an older type of controller.
It seems your best bet is to get an actual Wii controller or emulate the game on a computer that will let you use other controllers.