Quarterback Roger Staubach fired two long touchdown passes yesterday as the Dallas Cowboys came from behind to defeat the Washington Redskins, 34-16, in Irving, Tex.

In Los Angeles, the Dodges stayed alive in the World Series with a 10-4 victory over the New York Yankees.

The loss was costly one for the Redskins, as fullback John Riggins injured knee ligaments that could sideline him for the rest of the season.

In addition, Redskin running back Bob Burnet injured a vettabrae, quarterback Billy Kilmer hurt his left shoulder and kick-returner Eddie Brown sufered bruised ribs.

Staubach was too much for the Redskins, throwing touchdown passes of 50 yards to Golden Richards and 59 yards to Drew Pearson. The Redskins led 16-14, i the third quarter after Mark Moseley's third field goal - a club record 53-yards.

But Efren Herrera countered for Dallas with field goals of 44 and 52 yards and Staubach clinched it with the bomb to Pearson.

Dallas is now 5-0, the Redskins are 3-2.

The Dodgers, within one defeat of elimination, routed Yankee starter Don Gullett and bulit a 10-0 lead by the sixth inning as Steve Yeager hit a three-run home run and Rigger Smith a two-run homer.

Don Sutton was the winning picther for the Dodgers.

The Dodgers, batting only 190 as a team before the game, collected 12 hits. Los Angeles now has eight home runs in the series.

Thurman Munson ans Riggie Jackson hit back-to-back home runs off Sutton in the eighth inning.

Games 5 will be played Tuesday night in NEw York. The Yankees lead the best-of-seven series, three games to two.