Turbotax says that my Vermont income tax was accepted by the state on Feb th, I called Vermont tax line and they have not received anything

There is no problem. Accepted just means the state has received your return but they have not processed it yet. Until that state starts reviewing and processing your return, they won't have any record of it when you contact them or go to check status on their website. The next step would be for them to process and approve your refund. 

Processing times vary from state to state and Vermont has stated they will have delays in the processing of refunds. They also have stated that "E-filed returns have an expected time frame of 6-8 weeks for a refund, while paper returns typically take at least 8-12 weeks." And you can see more details on that here Vermont’s 2018 Filing Season Updates

Per Vermont's Department of Taxes:  Refund Expectation

"Taxpayers should be aware that the Department's measures to combat personal income tax fraud for the 2018 tax filing season may cause delays in receiving their refunds. The Department will start processing returns the first week of February. However, we may hold some returns until we receive W-2 withholding reports from employers, which are due on January 31.

The most efficient and secure way to file Vermont tax returns continues to be electronic filing, and direct deposit to an existing bank account is the fastest way to receive a refund. Taxpayers who e-file generally receive their refunds more quickly than those who file paper returns. E-filed returns have an expected time frame of 6-8 weeks for a refund, while paper returns typically take at least 8-12 weeks."

I received my federal taxes back on Feb 12,  I still have not received anything from my state return