That's because Toronto Blue Jays third baseman Josh Donaldson tied the game with a home run in the seventh, then singled home the go-ahead run in the three-run eighth to end the Indians' streak at 14 with a 9- victory.
Davis completed the cycle with a single in the ninth inning against Blue Jays closer Roberto Osuna, The crowd gave the former Blue Jays outfielder an ovation.
Then Davis stole second but could not score as Osuna earned his 16th save of the season.
"That's awesome," Davis said of the ovation. "I couldn't ask for anything better than that."
Davis homered in the first, tripled in the third and doubled in the seventh before his single and became the first Indian since Travis Hafner, on Aug. 14, 2003, at Minnesota to hit for the cycle.
"That was very impressive," Indians manager Terry Francona said. "He's been such a spark for us in so many ways."
Said manager John Gibbons of the Blue Jays: "Good for Raj. We still can't get anybody who played for us."
The Indians set the club record of 14 straight victories when they defeated the Blue Jays 2-1 in 19 innings on Friday.
"Even though we played a long one yesterday, guys were out there playing with energy," Davis said.
Carlos Santana also homered for Cleveland (49-31).
Jason Grilli (1-0) pitched a perfect the top of the eighth to earn the win.
Dan Otero (2-1) allowed two hits and two runs in 1? innings to take the loss.
Donaldson hit Otero's first pitch of the bottom of the seventh to center for his 20th homer of the season to tie the game 6-6.
Otero walked Carrera with one out in the eighth and was replaced by Tommy Hunter, who was greeted with a single by Devon Travis. Donaldson followed with a single to center that scored Carrera with the go-ahead run.
Carrera was first called out, but the Blue Jays won their challenge the call was changed to safe. Toronto executed a double steal to put runners at second and third, and Michael Saunders doubled them home.
Francona was not convinced about the result of the review.
"I went and looked at it six or seven times," he said. "I don't know how you can overrule that. I couldn't tell if he's safe or out. I know they keep telling us it has to be conclusive.
"I will look forward to an explanation that I understand. As of now, from what I've seen, I don't know how they did that. I was shocked."
Said Gibbons: "We liked what we saw but you never know for sure."
Added catcher Chris Gomez: "I definitely thought I had him in the leg. The explanation they gave us was his arm got in there before I tagged him. I don't necessarily think that was the case."
Blue Jays starter Marco Estrada allowed five hits and three runs, two on solo homers, in five innings. The right-hander struck out seven.
His outing was cut short because of a back problem that has hampered him on-and-off since spring training.
"Obviously it didn't feel very good today," Estrada said. "It affected me. I think my first pitch was 83 miles an hour. It was tough. I gave it all I had today. It wasn't much but at least I got five innings.
"I think it will get better, I don't think it's anything too serious. Hopefully it's completely gone by the next one. Both my sides hurt pretty bad. It's just a sharp pain in the lower part of my back, more so the left."
Estrada said will need to be better for him to make his next start.
"If it hurts as much as I did today I'll probably have to watch the next one," he said. "I'm hoping to make it, but we'll see."
Davis hit his ninth homer of the season to lead off the first inning.
The Indians, having used Saturday's scheduled starter Trevor Bauer for five innings in relief used five pitchers.
Zach McAllister, who pitched one inning of relief Friday, started for Cleveland. He allowed Encarnacion's 22nd homer of the season that gave Toronto a 3-1 lead in the first.
Tyler Naquin's single in the third and the triple by Davis cut the Toronto lead to 3-2. Sanatana tied it in the fourth with his 18th homer of the season.
Tulowitzki hit his 13th homer of the season of left-hander Shawn Morimando, who was called up from Double-A to make his major-league debut. He allowed six hits and two runs in 3? innings.
Joe Biagini hit Jose Uribe with a pitch with the bases loaded to trim Toronto's lead to 5-4.
Drew Hutchison allowed the double by Davis in the seventh, a single by Jose Ramirez that tied the game, and a double by Mike Napoli that put Cleveland ahead 6-5.
NOTES: Toronto INF Ryan Goins (right forearm tightness) was put on the 15-day disabled list Saturday. He had the tightness after pitching the 18th inning of the 2-1 Indians win in 19 innings on Friday. ... RHP Bo Schultz, who pitched 2 2/3 innings Friday, was optioned to Buffalo Saturday with RHP Drew Hutchison and LHP Aaron Loup recalled from the Triple-A team. ... Cleveland promoted LHP Shawn Morimando from Double-A Akron on Monday and designated INF Michael Martinez for assignment. ... The Indians purchased the contract of RHP Joe Colon on Saturday and optioned him to Triple-A Columbus. ... Cleveland RHP Corey Kluber (8-7, 3.50 ERA) will face Toronto LHP J.A. Happ (10-3, 3.70 ERA) in the finale of the four-game series on Sunday.