If received $400 VA Youngkin 2023 rebate do you report as income on VA 2023 taxes?

According to "What You Need to Know About the 2023 Tax Rebate", it is treated like an ordinary state tax rebate. Therefore, as you say, if you took the Standard Deduction last year on the federal return, then this would not be taxable on the 2023 federal return.

Did you itemize in 2022? If so, come back and tell us.

Q. If received $400 VA Youngkin 2023 rebate do you report as income on VA 2023 taxes?

A. No. Under no circumstances would it be reported as income on your VA return.  As the other reply indicated, there might be a circumstance where it would be reported , as income, on your federal return. 

It's the same as any other tax refund.  If you received a regular state refund of (let's say) $500, and the rebate of $400, then in Turbotax when it asks if you had any refunds of state or local taxes (and it may pre-fill with the $500 number if you used Turbotax last year) change it to $900.  You should also be getting a 1099-G form in mail which lists your state tax refund from the previous year, the amount should equal both refunds added together.  

If you took the itemized deduction last year, part or all of the refund might be taxable if it is a reimbursement or refund of a previous deduction.  But turbotax will fill that out for you.