QB Issue Resolution:

As far as your Form 941 liabilities, the IRS only cares about when the Employee is actually paid for the work they performed. The IRS doesn’t care what the pay period dates were for the work that was performed.
So in your example, your Employees worked the month of February and were paid for that work with a paycheck dated in March. The IRS considers the liability arose in March, so being a monthly depositor, you would need to make the deposit for your March liability by April 15.

You can find more information in this IRS Publication:
http://www.irs.gov/pub/irs-pdf/p15.pdf

Resolution for Issue 'Enhanced Payroll creates IRS Form 941 data one month off due to Monthly payroll cycle.' available: Yes (Solved).
Source: Intuit Community forum.

Enhanced Payroll creates IRS Form 941 data one month off due to Monthly payroll cycle.: this issue or error code is a known issue in Quickbooks Online (QBO) and/or Quickbooks. Support for this issue is available either by self-service or paid support options. Experts are available to resolve your Quickbooks issue to ensure minimal downtime and continue running your business. First try to resolve the issue yourself by looking for a resolution described below. If it is a complex issue or you are unable to solve the issue, you may contact us by clicking here or by using other support options.

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