In the semifinals, Barty will face the top seed and world No. 1 Simona Halep, the 2016 Rogers Cup victor who defeated sixth-seeded Caroline Garcia 7-5, 6-1 in one hour 28 minutes.
Spaniard Carolina Garcia, the No.6 seed, was combative in the first set before Halep secured a crucial break to win the opener 7-5.
Stephens' baseline game proved too much for 28-year-old Seavastova, who lost on her serve in the opening game of both sets and was never able to catch up.
"My opponent has already six hours at the hotel resting, and I just finished the match and I'm doing now these (interviews)", Halep said at 9 p.m. local time (0100 GMT).
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The Egypt forward scored 44 times in his first season at Liverpool and took only 19 minutes to get off the mark at Anfield. We have started the season great and everybody is happy. "We are clear and sure that we need to improve".
The 26-year-old Halep battled through a hard first set, then easily won the second in a rematch of last year's quarter-final contest with Garcia which was also won by the Romanian.
"I think I played smart tennis today", said Halep, who's looking to repeat her 2016 win here.
"I'm very happy to come through and get a little bit better during the match", she added. "I always believed I could play on every surface" she had said after her title-run in Bucharest. In the quarterfinals, she went up against Anastasija Sevastova and won 6-2, 6-2. "I played very well for a set and a half. Yeah, it's disappointing, but I think this will help me moving forward, getting ready to go into [Cincinnati] and the US Open".
At 6-4, Stephens again had her chances but it was Halep who would take the first set with four points in a row.
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Preparing for the U.S. Open, Stephens also reached the event semifinals past year in Toronto.
The third title in the season brought Simone Halep over 500 thousand dollars in prize money and 900 ranking points, which will allow the Romanian Monday to increase their lead from her nearest competitor up to 1800 points.
Ashleigh Barty of Australia hits a shot against Simona Halep of Romania (not pictured) during the Rogers Cup tennis tournament at Stade IGA.
"I've been playing well, consistent and that's great", said Stephens. Obviously, to make a final of another tournament is incredible. It certainly lived up to expectations, as Roland Garros victor Halep fended off four set points to claim the opening set. The Ukrainian even got a service break to close the gap to 5-3, but Stephens broke right back to take the set.
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On July 25 he is moved to house arrest. "Otherwise we will set into motion our plan B and C", he said, without elaborating. It pared losses after Albayrak's comments and stood at 7.08 at 2040 GMT on Sunday, Reuters said.