Send ada from excange to exchange and now lost the ada


I have an issue i did send ADA from 1 exchange to another exchange. Using a key which was the key in april and may (so i used my adress book). Now the exchange is telling me that this was not the correct adress as now there is a total other adress. So my questions:
1> Can an excahnge the deposit ADA adress to something else (i have succesfully deposit multiple times).
2> How can i get my money back as this is my transaction id:

And i can see that it has been arrived on adress:
which i used before (in may and april).

This is a byron address… but I think the exchange which received the funds should be able to recover the funds