How to speed up unpostable refund

[DoninGA]

Once you e-file the tax return and it has been accepted by the IRS or State, there is nothing more you can do to speed up the processing of the tax return.

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

Once a tax return has been Accepted by the IRS or a State, TurboTax receives no further information concerning the tax return or the status of any tax refund.

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

[xmasbaby0]

Not sure what you mean by "unpostable refund."   If you are not finding information about your refund on the IRS site, you might be using the wrong refund amount.  

https://turbotax.intuit.com/tax-tools/efile-status-lookup/ 

https://ttlc.intuit.com/questions/2584108-why-is-there-no-record-of-my-return-at-where-s-my-refund-w...

Sometimes people get confused by the “summary” given by TurboTax and use the wrong amount for the federal refund.  Make sure you are only using the federal refund amount, and not an amount that combined your federal and state refunds.  

Your federal refund amount is on line 35a of your Form 1040

https://www.irs.gov/refunds

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