Draisaitl made it 2-1 32 seconds later with a wrist shot from the high slot after cutting in off the right wall. Bouchard tied it 2-2 at 11:49 of the second period on a shot from inside the right circle through a screen.
"I thought we did some things right," Oilers center Ryan Nugent-Hopkins said. "Overall, we just gave them too many good opportunities and 'Smitty' had to make some big saves."
Tarasenko gave the Blues a 3-2 lead at 15:46, set up by Kyrou through the middle of the ice before going from his backhand to his forehand to score over Smith's blocker.
"Just drive the middle and Kyrou] make a little play, kind of a small breakaway," Tarasenko said. "I don't know what to say. 'Rouzie' made a nice pass, [
[Justin Faulk
] made a nice pass to Rouzie. Guys creating a chance for me and I was lucky enough to score."
Brandon Saad's power-play goal 16 seconds into the third period, a rebound off a David Perron one-timer from the left circle, made it 4-2.
NOTES:Oilers forward Zach Hyman played 21:16 after missing three games with a shoulder injury. ... Draisaitl is the first Oilers player to score 24 goals within the first 30 games since Wayne Gretzky scored 25 in 1987-88. ... Samorukov played 2:28 and was a minus-2 in his NHL debut. ... Blues coach Craig Berube became the seventh NHL coach with 200 wins and 1,000 games played, joining Randy Carlyle (475; 1,055), Bob Pulford (360; 1,079), Craig MacTavish (301; 1,093), Red Kelly (278; 1,316), Brent Sutter (215; 1,111) and Larry Robinson (209; 1,384). ... Blues forward Pavel Buchnevich was a late scratch with a non-COVID related illness and is considered day to day. ... Perron had an assist and played 21:21 after missing 11 games with an upper-body injury.