Check that the money order amount is correct. Find out if you can pay with a MoneyGram and then buy one.Write the recipient's name next to "Pay to the order of. Steps to fill out a money order Fill in the name of the recipient. Fill in the recipient's name. You may pay online or onsite with check or money order. Changing ownership must fill out and submit before inspection). The Instructions for Completing the Orders – currently under the Temporary Ex Parte Order form – apply to all orders, including the MOEP.