The tax filing fee is bigger when is taken from the refund when is paid before the refund (out of pocket ) is smaller. I have not received my refund and Turbo tax charged me the bigger amount fee and

Did they take it out of your account yet or did you get an email?  You get 4 emails before they Debit your account.

Turbo Tax says......

We understand that these are unprecedented times and we’re committed to helping our customers who are experiencing hardships. If you’re in need of assistance, call us by the Tuesday prior to your debit date at 1-888-808-1723 to speak with a trained specialist and mention “auto-debit”, or visit TurboTax Support.

From top of this FAQ

https://ttlc.intuit.com/community/charges-and-fees/help/why-was-my-bank-account-auto-debited-for-turbotax-fees/00/26102

When you choose to have your fees paid from your federal refund, there is a $40 processing fee to use that service. The fee is assessed whether your fees are actually paid from your federal refund or if TurboTax must get the fees directly from you when your refund is late. 

The reason it is still assessed is because your refund will still go to the 3rd party bank that was going to take your fees out when the IRS finally sends it and they must then handle it to send it on to your bank. 

See the FAQ referenced in Volvogirl's answer.