What are the main benefits of money transfers by MoneyGram? Simple - the money transfer procedure is maximally simplified. AgentConnect allows MoneyGram agents to integrate the money transfer service with their internal security and training processes. If you need to cancel or change a transaction, then you should contact by telephone with the MoneyGram branch agent, made the transaction for you. MoneyGram completed the rollout of simplified pricing for money transfer services in the U.S., an initiative that began last year.