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Austria won 3-2 against Holland while Lewandowski's equaliser made it 1-1 for Poland against France in Group D.
Baumgartner, Trauner and Arnautovic scored in a 3-1 win for Austria.
Olivier Giroud had put France ahead in the first half. Robert Lewandowski managed a late consolation for Poland.
Poland too progressed, with a better goal difference, after Mexico best Saudi Arabia 2-1.
Robert Lewandowski's 58th minute penalty was only the second shot on target Poland had all game.
The Polish striker secured Barca's points in the 20th minute when he sped into the area, made a brilliant cut inside to clear a defender and slotted the ball to the goalkeeper's left.
Lewandowski, who came on as a substitute after the goal, continued his fine start to life in Spain with Barca's second 25 minutes from time to put the visitors in command.
The 3-0 win win over Sevilla lifts Barcelona to second place in the table on 10 points, two behind leaders Real Madrid who beat Real Betis 2-1.
Real will take on RB Leipzig, Shakhtar Donetsk and Celtic in the group stage.
The Polish striker scored his first goal in competition for Barcelona when he opened the scoring in the first minute.
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