After my state and federal have been accepted when will it post to my bank account

It takes 21 days usually for the process. It can post anywhere between that time frame.

Typically it does take about 21 days to receive your refund from the IRS when you e-file and choose direct deposit as your refund choice. When your tax return is accepted by the IRS you can get a pretty good idea of when you will receive your tax refund from the IRS based on acceptance date in the chart with the article link provided below, but please remember these are only estimates:  https://www.cpapracticeadvisor.com/tax-compliance/news/21123770/chart-shows-estimated-irs-income-tax-refund-dates-for-2020