Requirement to account the Sales Order Issue transactions on the date

Mentioned below the business requirement.

Sales Orders of 31-May-25 are interfaced from Omnevo subsystem to Fusion on 1-Jun-25. SO date is 31-May-25 but shipping will happen only after order creation which is on or after 1-Jun-25 affecting COGS and Revenue to be in Jun instead of May. The expectation is to account the SO issue and COGS recognition with a back date (1 or 2 days prior to system date). It would be even better if the accounting date is picked same as Order Date (in this case 31-May-25).

Please advise if there is any profile option/ setup that can control this date so that there won't be any differences in actual and application values for COGS/ Revenue.