I filed my Georgia refund On February 12, 2021 and will except it and it has been showing green amount since then what does this mean

Federal and state refunds come from completely separate entities,  There is no rule as to which one will come first or how much time there will be between their arrivals.

STATE RETURN

Make sure your state return was accepted:  https://turbotax.intuit.com/tax-tools/efile-status-lookup/

To track your state refund:    

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

My state was excepted when I log on to the Georgia state website it shows my amount there in green and it was excepted so what does it mean the green amount to be there

My state was excepted when I log on to the Georgia state website it shows my amount there in green and it was excepted so what does it mean the green amount to be there

Most likely green means a refund. But GA says to allow 90 days.