After you file

Putting two returns into the system at the same time can lead to lots of confusion and delay, so do not expect a quick result from filing a return and then amending it so fast.   If you have an amount on line 30 of your first Form 1040 to get the recovery rebate credit then you were already going to experience a delay because every return with an amount on line 30 has to be looked at by a human.   The IRS cross checks every return for the recovery rebate credit and recalculates your refund if you really already received that money.

So you were already in for a wait for the credit.  Sending in an amended return immediately was a poor choice, but you cannot un-do it now.   Sit tight, and wait for the IRS to process the returns you sent in.    Do not be surprised if it takes many months to receive anything else.

The IRS is severely backlogged --- returns that require human attention are taking months to process.   You can watch both the "normal" IRS refund site and the "amended return" sites-----but do not expect anything to happen quickly.  Expect it to take months.   Maybe longer.

Once your federal return has been accepted by the IRS, only the IRS has any control.  TurboTax does not receive any updates from the IRS. Your ONLY source of information about your refund now is the IRS.

You need your filing status, your Social Security number and the exact amount  (line 34of your 2020 Form 1040) of your federal refund to track your Federal refund:   

https://www.irs.gov/refunds

To track your state refund:    

https://ttlc.intuit.com/questions/1899433-how-do-i-track-my-state-refund

https://ttlc.intuit.com/questions/1901548-why-do-some-refunds-take-longer-than-others

If you chose to have your TurboTax fees deducted from your federal refund, that will take some extra time, while the third party bank handles the refund processing.

https://www.irs.gov/refunds/tax-season-refund-frequently-asked-questions

https://ttlc.intuit.com/questions/2840013-does-accepted-mean-my-refund-is-approved

Even during “normal” times it takes about four months for the IRS to process an amended return.  During the pandemic and due to the severe backlog at the IRS it is taking much longer—six months or more for many amended returns.  Do not expect quick results from amending.  When the IRS issues a refund for an amended return it will be by check.  They do not make direct deposits for refunds for amended returns.  You can watch for information here:

https://www.irs.gov/Filing/Individuals/Amended-Returns-(Form-1040-X)/Wheres-My-Amended-Return-1