I don't use Binance, but I'll give an opinion on what you wrote. I'll assume that you cannot log in because of the (deleted) 2FA.
What kind of security expert do they have in binance.
You are expecting too much. Customer support are usually far from experts.
I told them that's not necessary. I own the email
rany@mydomain.com. EVERY BODY SHOULD KNOW that sender address can be easily spoofed.
I would be happy if I'd be asked for such a (weak) proof like an e-mail. Of course, I'd withdraw and never use their services again.
When you create 2FA protection you have to enter the number from Authy/Authenticator. At least once it did work, keep that in mind.
From what I understand, you failed to give them any proof that you are the owner of the account, from the missing 2FA to not knowing the LTC sender address and also sending from the "wrong" e-mail (as you said, this should not be proof, but .. yeah). Then why would they let you in? Because you know the user name and the password?
What if a hacker would know that info (stolen from your computer) and would pretend it's you just to steal your money? Would you be happy if they'd let him in?
Always think about the both sides of the story as good as possible. For now, sorry, but I would also not let you in (and I would certainly not care much about that e-mail address).
And now, thinking a bit more:
1. You have one thing that could somehow identify you: the amount of LTC. If you know the exact amount, maybe that could be of help.
2. .1 BTC is 363$, not 150$, if that's what you meant, something doesn't add up.
3. When you create 2FA protection, get the seed, write it onto a paper you'll keep safe and create the 2FA from that seed. In Google authenticator it works like that and that's what I do. Because when you work with money you have to be careful so you don't have to rely on tech support, which are people that care more about their job than your money.