Were Cleopatra and markanthony married

Yes and no. Cleopatra insisted that Antony marry her to fulfill her fantasy of being the new Isis and he the new Dionysus. Antony did "marry" her according to Egyptian custom because if he didn't, Cleo threatened to withdraw her financial backing for his Parthian war. Antony agreed, knowing full well that the marriage would never be recognized in Rome, because Cleopatra was a foreigner and he also had a Roman wife. By the way, his Roman wife just happened to be the sister of his enemy Octavian, and he didn't divorce her until three years after his "marriage" to Cleopatra.