State tax filing

You're correct that Illinois was a credit reduction state in tax year 2022, but please clarify -- what's leading you to believe the computation is incorrect?

The calculation procedure for household employers in a credit reduction state can be found in Worksheet 2 in the Instructions for Schedule H.  

If you can supply the figures from your Schedule H that are relevant in Worksheet 2 (i.e., lines 1 and 2 of the worksheet), perhaps we can help you determine what's going on.