Either that, or have your agent physically present the offer to the other agent to make sure they get it and time stamp it or something. That way you know they got it.
Twice though? You're nearly offering double? If it's "that good" then there were likely many other offers. Are you trying to buy again with FHA? Keep in mind FHA is at the bottom of the barrel for many banks when it comes to priority of acceptance.
On the surface it appears you have every right to by upset. However, without a complete understanding of the details surrounding this event, it is impossible to try to make sense of it.
Many questions come to mind:
Did you submit a formal written offer?
Were you working with an agent?
Did you provide a deposit?
Did you request special considerations?
Were you pre-approved for financing?
Was the other offer a full cash offer?
Are you certain the seller recieved your offer?
As presented, this just flat out doesn't make sense........But there are always reasons