DogeChain.info is a shitty wallet. I see many users are having problems with it. Not to mention, using a web wallet is generally not recommended.
then I see a form that I send my name and city but then I could not login finally
DogeChain login processes did not show or require inputting name and city, the form only available upon creating wallet process, are you sure it shows when you try to log on?
then I wanted to try with 2FA.com application, I had back up file and I restore it to get code, but when I want to login to dogechain.info it does not accept the code that I receive it from 2FA application , and said it is invalid code , and it does not send 2fas code to my email too and I can not login to my account at all.
That is now how it works. 2FA from the web wallet is different from the one you usually set up. This website only sends 2FA to your registered email, so you can not use it via application.
just in case I create new wallet in dogechain but in that one I receive the code in my new email for new wallet
In that case, wait a few hours or a day, your account might get a rate limited due to many failed logins. One thing you did not explain clearly is why or what kind of reason/error you failed to log in, so you better explain it concisely about it.