As far as I can tell, your Nintendogs(&Cats) Dachshund is indeed a Dachshund.
Looking up some wiki articles on the game's Dachshunds and Golden Retrievers, your's is definitely not a retriever. It looks to be a Red, Yellow, or Golden coloured Dachshund. For some more direct comparrisons:
- Your Dachshund
- A real Dachshund with similar fur colour to yours
- Another Nintendogs&Cats Dachshund (black & tan fur)
- A Golden Retriever
- A real Golden Retriever
- Another Nintendogs&Cats Golden Retriever.
It is a little difficult to determine based on the snout - the model the game uses for the Dachshunds is a little less pronounced than some real life ones posses, but it is additionally difficult based on the angle of the screenshot you provided. Still, yours does look like the snout of the real life Dachshund.
The ears of your dog more closely match that of a Dachshound. While on the bottom row we can see that both the virtual and real Golden Retrievers have similarly shorter ears that do not match the shape of your dog's.
The legs may also be a key identifying feature; those of your dog appear slightly shorter than those of the retrievers on the bottom row. Again, however, it is a bit difficult to tell leg lengths based on the angle of the screenshot provided.