I'm happy, especially with the way we played in the first half," Portugal coach Luiz Felipe Scolari said. "And we can learn some things from the second half."
Moutinho's first goal for Portugal came on his 13th appearance.
The Sporting Lisbon midfielder controlled a pass on his thigh outside the area and struck a volley that bounced before going in in the 19th minute.
Sabrosa was brought down by goalkeeper Girogi Loria as he broke into the area, and stepped up to score from the penalty spot in the 44th.
Cristiano Ronaldo, at the center of a recent spat between Manchester United and Real Madrid over his club future, was subdued and made little impression until the 40th when Loria deflected his free kick onto the crossbar. Ricardo Carvalho hit the rebound against the bar again.
Portugal started with Chelsea pair Jose Bosingwa and Paulo Ferreira in the right-back and left-back positions. Armando Petit was in front of the back four, with Moutinho further forward and Deco behind striker Nuno Gomes. Ronaldo and Sabrosa switched between the wings.
Scolari, in his 70th game in charge, made six substitutions at halftime, including replacing Ronaldo for clubmate Nani, and another three after 63 minutes. The tactical change robbed Portugal of its rhythm.
Winger Ricardo Quaresma, a standout player along with Nani in the second half, hit the post with a powerful shot in the 60th.