When a receipt is posted in Adagio Inventory, amounts are immediately written to the GL transaction batch. You do not have to complete the Receipt in order to generate the information for GL.
If you make a change to an Active Receipt, this change will also immediately generate information for GL, for only the changes in a similar way. There is no danger of double-posting.
If the Receipt has tax amounts, these do not get sent to the GL batch when the Receipt is posted, but rather when Day End Processing is performed in Inventory. Day End will also create the AP invoice batch and mark the receipt as Complete, as long as an invoice number was entered on the Receipt, otherwise the receipt will be skipped.
Marking a receipt as Completed from the Edit Receipts function does not generate any GL activity - it simply prevents further edits to the receipt.
So to answer your question, if you are OK with April receipts to be sent to GL now, then it is fine for your staff to enter and post April receipts. This will affect the April fiscal period in GL, while you continue to do your March finalization.
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Softrak Tech Support