In its statement, the Shrimpers Trust said it was clear before kick-off the pitch would deteriorate due to the weather.
“Postponement decisions need to be made earlier, even if it results in an overly-cautious approach,” it said.
“Away fans need to be more carefully considered across the pyramid and receive better communication.
“Travelling across the country to support your team isn’t cheap, especially in the run-up to Christmas and especially when a wasted journey is made twice.”
The trust called on Rochdale AFC to offer discounted tickets when the fixture is rearranged once again, subsidise coach travel or pay an immediate refund.
“We will follow Southend, whatever the weather, but we feel that this ongoing situation needs urgent support from those in charge of the game,” it added.
The National League declined to comment when contacted by the BBC.
Southend United and Rochdale AFC were also approached for comment.
