Are you sure you completed your W-4 properly? It's considerably more complicated than in past years; it's no longer just "married with no dependents" like the old W-4 you're thinking of. Here's the Tax Year 2022 version of the W-4: https://www.irs.gov/pub/irs-pdf/fw4.pdf If you entered dollar amounts on this version of the W-4, they probably reduced your withholding (except in Step 4(c), additional withholding).
Employers do not routinely submit W-4s to the IRS; they enter the information on that form into their own payroll system so that system can compute the correct withholding. The IRS' own withholding calculator (linked on the W-4) has been down since December 30, officially for "unscheduled maintenance" but the formula changes every year & updating it is probably low priority for a short-staffed IRS.
If you think your employer isn't withholding enough, follow the instructions on the new W-4 linked above. Also look at Publication 505, https://www.irs.gov/pub/irs-pdf/p505.pdf (last revised for Tax Year 2021, 2022 withholding should be slightly less).
