If MoneyGram money transfer, for some reason has not been received by the addressee, the sender will receive a refund. How to send money via MoneyGram money transfer? To make up a money transfer you should go to the MoneyGram agents and fill the application form for transfer. AgentConnect continues to be an attractive alternative for businesses that choose to integrate their networks and point-of-sale platforms with the MoneyGram wired transfer. The benefits of money transfers by MoneyGram: simplicity in making up. MoneyGram financial results were driven by money transfer business, which delivered more than 40 percent growth in transaction volume.