The severely backlogged IRS is very slow to process mailed returns. However, you seem to know that they received your return and cashed your check. You have no "next steps" to take except to check your online IRS account from time to time to see when they post something there. The IRS is not going to send you a receipt or any sort of acknowledgement that they processed your return. If you have trouble e-filing when asked for your AGI, you may have to try using zero to get your 2022 return e-filed, since your 2021 AGI will probably not make it into the database they use to verify you in time to match your AGI with your Form 1040.
https://www.irs.gov/payments/your-online-account
**Disclaimer: Every effort has been made to offer the most correct information possible. The poster disclaims any legal responsibility for the accuracy of the information that is contained in this post.**
