I think you misunderstand DR. I'm advocating using replays during the match to verify things like whether a goal should be ruled out for offsde, the ball crossing the line, penalties etc. Whenever a referee has an important call to make he should do what they do in cricket and "refer" it to a video ref. The video ref then makes a decision which is displayed on the scoreboard and is final.
I actually strongly disagree with reviewing video evidence after the fact because as it stands if a player gets a yellow during the game but is later adjudged to have been guilty of a red card offence, his team still avoids the punishment of having reduced numbers for the remainder of the match.