If my federal return for 2019 was accepted January 22, 2020 but still says "processing" on the "Where's my Refund"... What does that mean?

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 a date for Sending 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

Only the IRS controls when and if a tax refund is Approved and Sent.

Call the IRS:  1-800-829-1040  hours 7 AM - 7 PM local time Monday-Friday

When calling the IRS do NOT choose the first option re: "Refund", or it will send you to an automated phone line.  

So after first choosing your language, then do NOT choose Option 1 (refund info).  Choose option 2 for "personal income tax" instead.

Then press 1 for "form, tax history, or payment".   

Then press 3 "for all other questions."

Then press 2 "for all other questions."  

- When it asks you to enter your SSN or EIN to access your account information, don’t enter anything.  

- After it asks twice, you will get another menu.

Then press 2 for personal or individual tax questions.

Then press 4 for all other inquiries.

It should then transfer you to an agent.

Or you can contact your local IRS office.  See this IRS website for local IRS offices - http://www.irs.gov/uac/Contact-Your-Local-IRS-Office-1 or call 1-844-545-5640 to set up an appointment

Or you may want to contact a Taxpayer Advocate in your area.  See this IRS website for Taxpayer Advocate in your area and a toll free number - http://www.irs.gov/Advocate/Local-Taxpayer-Advocate