Did mark Anthony's army lose the war or did they win it?

Depends on which war. In one of the Roman Civil Wars the armies of Mark Anthony and Octavian crushed the armies of Brutus and Cassius at the Battle of Phillipi, with Mark Anthony's army being the more successful. In war against the Parthians, Mark Anthony's army was less than successful, but the Parthians were one of those few peoples whom the Romans tried many times to conquer and never did. Mark Anthony then allied with Cleopatra against Octavian, but their army watched helplessly from the shore while their navy was easily defeated at the Battle of Actium, after Cleopatra and Mark Anthony had fled from the battle. It is sometimes speculated that they they would have had a better chance of defeating Octavian on land rather than at sea. In short, Mark Anthony won a few and lost a few. He was certainly not the best military leader that Rome produced, but neither was he the worst.