Hi there!
You don't specify *how* you moved the decks, so it's hard to say what happened. Were you in sync with AnkiWeb? If so, you just sync on the new phone and you are set. If you exported the decks, it is possible you exported them without media, or the media was not actually in your collection so then when you import of course the media files are not there.
Here is our information on how to discover where the files should
be and see if they are there etc:
https://github.com/ankidroid/Anki-Android/wiki/FAQ#why-doesnt-my-sound-or-image-work-on-ankidroid
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