Soundiiz requires access to a music user account to retrieve data and import playlists and favorites to the account.
Unfortunately, the mobile application eSound is not proposing any API / access to a user account. That's why Soundiiz is not compatible with eSound Music for the moment.
But you can still use this workaround to import playlists to eSound Music: Transfer Spotify playlists to eSound Music
And this tutorial is on exporting your eSound Music playlist to Spotify and more.