Under TurboTax my refund has been aproved but it’s still showing up as Received by the IRS? Which is accurate ?

[DoninGA]

TurboTax would show Accepted Not Approved.  

Only the IRS and your State control when and if a Federal or State tax refund is Approved and Issued.

If accepted by the IRS use the federal tax refund website to check the refund status - https://www.irs.gov/refunds
If accepted by the state use this TurboTax support FAQ to check the state tax refund status - https://ttlc.intuit.com/questions/1899433-how-do-i-track-my-state-refund

After the tax return has been Accepted by the IRS (meaning only that they received the return) it will be in the Processing mode until the tax refund has been Approved and then an Issue Date will be available on the IRS website.
See this IRS website for federal tax refund FAQ's - https://www.irs.gov/refunds/tax-season-refund-frequently-asked-questions

[Taxhater0011]

Turbotax doesn't approve refunds.  You use the program to process your returns.  Turbotax will notify you that the IRS accepted your return.  Now you just have to wait for IRS to process it.

[LindseyLO]

Help with tracking and staying up to date with your refund has been provided for you below. 

https://turbotax.intuit.com/tax-tools/wheres-my-refund/