TORONTO — The Dead Bats Society had no problem dancing across the Canadian border and into the Rogers Centre on Monday evening.

Now the question facing the Yankees is this: How long does the DBS hang around?

Coming off a victory when they got one hit Sunday, the Yankees continued to struggle at the plate against Blue Jays right-hander Marco Estrada, who hung a 4-2 defeat on them in front of 32,921.

It was the second time inside a week Estrada beat the Yankees, and this time they threw hosannas his way.

“Everything was on the corners. If he missed, he missed off the plate. That is the mark of a good pitcher,’’ Mark Teixeira said of the 32-year-old Estrada (3-2), who threw eight scoreless innings in which he allowed three hits. “Give him credit, he took care of us tonight.’’

Until the eighth inning, Estrada faced just one Yankees batter — Brett Gardner — with a runner in scoring position. The Yankees got runners on second and third via a walk to Starlin Castro and Aaron Hicks’ two-out double in the eighth, but Estrada popped up Jacoby Ellsbury to bury the scoring threat.

The 24-26 Yankees’ fourth loss in six games dropped them 6 ½ lengths back of the AL East-leading Red Sox.

Ivan Nova allowed four runs and eight hits in six-plus innings, which isn’t great, but it was easily enough for him to get beat and fall to 2-2 as a starter.

Working without his signature sinker, Nova labored, though he did control the damage.

“My sinker, I couldn’t get it down the way I am supposed to,’’ said Nova, who gave up an RBI double to Edwin Encarnacion in the first, traded an out for a run on Encarnacion’s ground out in the third, an RBI double to Michael Saunders in the same inning and Ryan Goins’ opposite-field homer to left in the fifth. “I tried to make pitches. Even though you don’t have your best stuff you have to compete.’’

Those swinging the Yankees bats are competing without much to show.

“When two-thirds of your lineup is not swinging the bat, well it’s difficult to score runs,’’ said Joe Girardi, who used Carlos Beltran as the DH and sat the ice-cold Alex Rodriguez, who is 1-for-16 with nine Ks since coming off the DL. “We have to find ways to score runs.’’

That might prove troublesome Tuesday, when lefty J.A. Happ starts for the Blue Jays. In two starts this season against the Yankees, Happ is 2-0 with a 0.56 ERA.

Trying to get something going in the ninth against lefty reliever Aaron Loup, Girardi used the right-handed hitting Rob Refsnyder to hit for Gardner.

“Loup has been really tough on him,’’ Girardi said of Gardner, who was 0-for-3, is without a hit in the last 20 at-bats and is batting .217.

Obviously, Loup isn’t the only pitcher giving Gardner fits.

“I don’t have a problem with that. I have always said, ‘If you don’t like getting pinched hit for, play better,’ ‘’ Gardner said.

After Refsnyder, who was elevated from Triple-A Scranton/Wilkes-Barre on Monday, struck out, Loup hit Beltran and gave up a towering homer to center to Brian McCann that cut the Blue Jays’ lead to 4-2.

Teixeira greeted right-hander Drew Storen with a double to right, but Castro flew out to right and Chase Headley struck out to end it.

“We had a good two weeks and we will continue to grind,’’ McCann said. “Our best baseball is ahead of us.’’

That’s got to be true because it wasn’t behind them when they left Rogers Centre Monday evening.