A knock of 117 not out from Shaiman Anwar in the first of the two matches set up a target of 181 for the Barras to chase for victory.
Mohammad Naveed (3/18) and Amjad Javed (3/38) ensured the victory bowling the Barras all out for 150 to win by 30 runs, and take a 2-0 lead in the series.
Jack Vare put on 38 runs for the Barras.
The third T20I played later in the day was a much closely contested one with UAE reaching the target of 129 with five balls to spare and five wickets in hand, to complete the series whitewash.
