The new exodus does not allow one to sweep a private key... :S there is no settings button to do it any more.. I am trying to sweep a dogecoin wallet.
It still does actually but only for BTC which is what I assumed you have. See here:
https://www.exodus.com/support/article/87-can-i-import-a-private-keyFor dogecoin, maybe you can try to see if Coiniomi supports that? I know they have a sweep feature just not sure for which coins.