Dachs is the German word for badger.

In Germany, a is always pronounced like the a in bath (Ah..rather than ay)..unless it has an umlaut (the two dots) in which case it is always pronounced more like an e.

Hund is the German word for dog. U in germany is always pronounced like the oo in book, unless it has an umlaut in which case it is pronounced like the oo in moon.

Thus the word is pronounced Dachs Hund.
Like Ducks Hund.

not dash-und or anything like that

Yes, I'm a pedant.
No, I don't have a dachshund either.