Okay, I'm fairly certain it would be impossible for you to send LTC to a Bitcoin address because the address shouldn't validate. So you say you sent it to a 2 of 3 electrum Litecoin wallet? Shouldn't you have 3 keys for it then? If you've lost your keys to the wallet, it's impossible for you to recover your coins. Could you link us to the transaction or try pro provide more information?
Here is the transaction number from when I sent LTC from Coinbase.com to an Electrum BTC Wallet - c36bef2a69fa4fd14abbe98cd4f21763d9f78efccc4c20f708cb33a2774bf13a
As for transferring the LTC from my Electrum BTC wallet to my Electrum LTC wallet I followed these instruction :
You should have mentioned this earlier. Two-factor authentication is a service provided by TrustedCoin (see here), and they do not support Litecoin, which is why this option isn't present in Electrum-LTC.
Now, the problem is that 2FA seeds are a special variety that isn't supported by Electrum-LTC (for the reason above). It should still be possible to recover the coins, I'm just not entirely sure how without writing ad-hoc code. Here is what I would try. First of all, in Electrum for Bitcoin, make a new wallet restoring from your 2FA seed, and when asked select to disable TrustedCoin. Do not enter a password. Then, close Electrum and open the wallet file you just created in a text editor. You will find 3 xpub and 2 xprv addresses. Open Electrum-LTC and create a new multi-sig wallet with a 2-of-3 scheme. Use the first xprv address and the other two xpub addresses. This should give you a wallet with the right addresses (use the converter to check).