PA:
The Football Association backed up the 20-year-old in their submission to FIFA's disciplinary committee but Rooney was found guilty of violent conduct. He has also been fined £2,400.
The Manchester United forward will miss England's Euro 2008 qualifiers against Andorra on September 2 at Old Trafford and Macedonia away on September 6.
The Football Association believe Rooney has been given a fair deal by FIFA's disciplinary committee.
Director of communications Adrian Bevington said: "We have just received this decision from FIFA and we believe the case has been dealt with fairly and we accept the decision."
More privately, the England camp will be pleased with the outcome which justifies their stance on the sending off.
Rooney always insisted there was no intent behind his stamp on Carvalho and the FA chose to back his argument rather than issue an apology to FIFA.
There was criticism from some quarters that this was the wrong approach and may have tempted FIFA to increase the punishment.
But Rooney's two-match ban is in line with what the FA consider to be a fair suspension.