FRANKFURT, Germany -- United States international Julian Green scored in his first official start as title holder Bayern Munich eased to a 3-1 win over Augsburg to reach the third round of the German Cup on Wednesday.Greens first goal in a competition match for Bayern came in the 42nd minute with a header off a cross by Thomas Mueller.The 21-year-old American winger played in the previous German Cup round, coming off the bench in a 5-0 win over Carl-Zeiss Jena. Green has been in coach Carlo Ancelottis squad several times this season but this was his first start.Green became the youngest American to score a World Cup goal in a loss to Belgium at the 2014 tournament in Brazil. His club career at Bayern stalled, however. He made a Champions League appearance in 2013, before being sent to Hamburger SV on loan. He rarely played there and returned to Bayern. He made another Champions League appearance at Dinamo Zagreb last season but did not see any Bundesliga action.However, Green made headlines by scoring a hat trick against Inter Milan in a pre-season tour of the United States, then scored in back-to-back matches for the United States against Cuba and New Zealand.Ancelotti left many of his regulars on the bench against Augsburg and Green got his chance.Another player made a comeback with defender Holger Badstuber coming off the bench late in the match. Badstuber had not played since an ankle injury in February.Bayern, an 18-time German Cup winner, went ahead through Philipp Lahm in the second minute and David Alaba completed the victory in injury time.Ji Dong-won had cut Augusburgs deficit with fine angled shot above Manuel Neuers arms into the roof of the net in the 69th.Both teams missed penalties, with Mueller shooting high for Bayern and Neuer saving the spot-kick taken by Koo Ja-cheol.Heres a look at other matches Wednesday:---BORUSSIA DORTMUND 1, UNION BERLIN 1, 3-0 in penalty shootoutDortmunds veteran goalkeeper Roman Weidenfeller stopped the first two shots in the shootout and Berlins third spot-kick bounced off the crossbar. Ousman Dembele, Matthis Ginter and Mario Goetze all converted for Dortmund.An own goal by Michael Parensen had given Dortmund the lead in 44th, but Steven Skrzybski equalized for the second-division team in the 81st. Dortmund played with a reshuffled lineup because of numerous injuries and rotation.---COLOGNE 2, HOFFENHEIM 1In a match between two surprise teams in this seasons Bundesliga, Anthony Modeste scored early in extra time to give Cologne victory over his former club.Hoffenheim, undefeated in the Bundesliga, went ahead in the eighth through Benjamin Huebner, before Marcel Risse fired Cologne level with a free kick.Hoffenheim found the net with the last kick of the match, but the strike was ruled offside.---SCHALKE 3, NUREMBERG 2Yevhen Konoplyanka scored two goals for Schalke, which let slip a 3-0 lead.Klaas-Jan Huntelaar also scored for Schalke, before the second-division team netted twice after the break and made it a tense finale.Schalke has now won five straight games in all competitions, following a poor start to the season.---OTHER MATCHESMainz and Darmstadt joined the exodus of Bundesliga teams from the German Cup, losing to lower-tier opposition in the second round.Darmstadt lost at fourth-tier Astoria Walldorf 1-0, while Mainz went down 2-1 at second-division Greuther Fuerth.Germany striker Mario Gomez scored a second-half winner as Wolfsburg edged second-division Heidenheim 1-0 for interim coach Valerien Ismaels first win.Hannover thrashed Fortuna Duesseldorf 6-1 after scoring five goals inside the first 34 minutes of the match between two second-division teams.Bayer Leverkusen and Freiburg, two other Bundesliga teams, were eliminated on Tuesday. 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Brett Kulak and Jackson Houck of the Vancouver Giants were each charged with assault causing bodily harm on Aug. 18, according to the B.C. court services.DES MOINES, Iowa -- Tyson Gay dispelled doubts over his fitness by beating Justin Gatlin in Fridays 100 metres final at the U.S. championships. Gay finished in a time of 9.75 seconds, the fastest in the world this season. Gatlin, wearing strapping on his right hamstring, was second. Charles Silmon took third as he held off Michael Rodgers by two-thousandths of a second for the last spot on the team headed to Moscow for the world championships in August. "That," Gay said, his grin growing wider, "went good." Even better, he was walking around without a grimace of pain after each step following the race, something that hasnt been the case in recent years. Hes been dealing with nagging groin and hamstring issues, along with that troublesome hip. Finally, the 30-year-old is healthy. Finally, hes training without discomfort trailing him around the track. "Tyson can be great if hes healthy," former Olympic champion Maurice Greene said. In the womens 100, English Gardner, who just recently turned pro, captured the title despite an ankle injury. Octavious Freeman was second and Alexandria Anderson took third to earn spots to worlds. "I really came out and performed well," Gardner said. "Its going to be a long haul, me and this ankle. Its a very emotiional battle.ddddddddddddquot; Gay entered the race with the fastest time in the world this year but Gatlin had the more impressive win, recently beating Usain Bolt. Gatlin led early, only to be caught by Gay. "He didnt show anything different than what Ive seen of Tyson before," said the 31-year-old Gatlin, who tweaked his hamstring at a recent meet but hid the injury until Friday. "A healthy Justin and a prime Justin will be able to (race) all the way to the line." Other winners on Friday were A.G. Kruger (hammer throw), Brad Walker (pole vault), Lance Brooks (discus) and Sharon Day (heptathlon). Day notched a personal-best score of 6,550 points. For Ashton Eaton, the first day of the decathlon was only about playing it safe and not chasing after his own world record. Eaton is in second place behind Gunnar Nixon after five events. "My (big performances) come now at the big show, not so much USAs anymore," said Eaton, whos dealing with a tendinitis in his left leg. LaShawn Merritt had the top time in the 400 to advance to the final, while Manteo Mitchell squeaked into the last spot after Michael Berry was disqualified for lane violation. 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