It's just a shot in the dark but if the amount you sent is important for you it might be worth a try.
If you own the private key of the DGB address to which the DOGE have been sent, you may possibly be able to import this key into your DOGE wallet and the DOGE should be back - theoretically, I never tried that.
I am really not sure if that works but IMHO it should if both coins use the same public key/address generation method.
HTH
My DGB wallet is empty u.u, let's see....
Thanks guys, I've just sent an e-mail to the exchange asking if there's something that I can do, as they are the ones who controls my private key, or I'm wrong? (in case, it's DEX exchange)