The Premier League had spent hundreds of thousands of pounds employing Hawkeye to develop a goal-line technology scheme and Richards, who was present at the IFAB meeting, was livid.
He said: "I was absolutely gutted and very angry as well. The investment that we have put into this was considerable - and now it has all been for no reason."
Richards even told Platini he was "killing football" at the end of the meeting, according to The Guardian.
At the IFAB meeting, Platini insisted introducing goal-line technology could open the door for a whole raft of measures such as TV replays to judge offside decisions.
He said: "Either you help them with additional pairs of eyes or with technology and I'm against technology. Once you start, who knows where you might stop. The 18-yard line, the offside trap? All I'm saying is let's try my idea."