Livecoin is not owned by IPBC (as far as I know). It's just the first marketplace listing IPBC. I'm pretty sure there will follow others soon. If you have any problems with livecoin, contact livecoin.
"Recovering" transcations is kind of a bad term. If you send a transaction to a wallet, it gets there. Like a transfer to a bank account. Because livecoin seem to need a payment id there could be complications (on exchangers side, but also on client side). So you can contact livecoin with the transaction hash, so he can assign the transaction to your account.
If you want to test if the transactions itself work, just create a second wallet and send. You will see, it works. Even with anon level. Maybe you have to wait for client (IPBC wallet) to clear/reset the fields.
I just tested it with Level 5 with and without payment id and with level 0 with payment id.
Just for future cases.