Okay, so now some badger folk want to try and imitate human speech. How close can badger vocal cords emulate human speech? I know dogs can crudely imitate human speech (we can see two dogs with the ability to hold conversations in English). I don't know how good badgers at are this task though?
They are badger-folk, not badgers. What makes them anthropomorphic? That will include bipedalism, hands, expressive faces, and vocal apparatus. Anything that is different from the stock anthrpomorphic animal needs to be described directly in the story.
Just have them talk. People will not have problems with it. Any differences affecting human speech interoperability is arbitrary stuff you can make up. Homonids are different from lemeers for example, and developing the speech apparatus was part of making "primate-folk". But it could have turned out differently.