Yep, I've already considered it lost...Binance support says they have no control over it
Technically, it is possible to recover a fund that has been sent on the wrong network, since they had control of the private keys, sometimes it is just not worth the effort for them to do it.
Ideally, if you own the addresses on your own wallet, you should be able to recover them on your own. But anyway, the only thing you can do now is to take it as a lesson.
Some references regarding wrong deposit:
Binance.US is not liable for any losses if you deposit an unsupported asset, deposit an asset using an unsupported network, or transfer an asset to an address not owned by Binance.US.
Please refer to Binance.US’s List of Supported Assets before transferring any asset to your Binance.US account. For any deposits or withdrawals, we recommend initiating a small test transaction and confirming that the asset reaches your wallet before sending larger amounts.
For more information please visit our Terms of Use.