LSU (18-1) jumped out to an early 10-point lead, 20-10, just under seven minutes into the game and never looked back. Baylor (15-4) cut it to eight the next possession, but the Lady Tigers retook a double figure lead, 22-12 after Augustus hit a jumper with 11:25 left in the opening half.
The Lady Tigers led by double figures the rest of the way, including 50-27 at the break and by as many as 33 late in the game.
"The energy and the execution led to so much offensively and defensively," LSU head coach Pokey Chatman said. "I was pleased with how we extended the energy for close to 40 minutes."
Augustus shot 13-21 from the field, including 1-1 from three-point land to lead all scorers. Fowles, who had 13 of her 17 points and 10 of her 14 rebounds at the break, added three blocked shots in the victory.
Scholanda Hoston added 14 points of 5-6 shooting and 3-4 from three-point range. Florence Williams had 11 points and six rebounds off the bench and Erica White dished out 11 assists.
"It didn't matter how they played us defensively," Chatman said. "They played some man, they played some zone, they played some junk and we did a good job of executing to the tune of shooting the ball at 50 percent for the game."
LSU shot 50.0 percent from the floor in the game, including 51.4 percent in the first half. The Lady Tigers also grabbed 50 rebounds to Baylor's 35.
Baylor, the defending national champions, was held to 35.3 percent from the floor.
The victory for LSU marked the 27th straight in the Maravich Center and the 34th straight over a non-conference opponent.
LSU returns to Southeastern Conference action on Thursday when they travel to Fayetteville, Ark., to face the Lady Razorbacks at 7 p.m. CST in Bud Walton Arena.
Lady Tigers roll over Baylor
Tiger Blitz Top Stories
LSU Spring Position Recap: QuarterbacksSpring practice for the Tigers is in the books. Tiger Blitz takes a look at the current state of the LSU quarterback position.
Tiger Blitz1:10 PM
4-star LB high on the Tigers, othersScout 300 inside linebacker Ayodele Adeoye is quickly becoming one of the hottest recruits in the nation. With an offer from Texas on Tuesday he has seen his list grow to 23 offers…
Scout Football11:45 AM
2018 athlete recaps LSU Spring Game visit2018 West Monroe (La.) athlete Slade Bolden took in LSU's Spring Game on Saturday and talked about the new offense and where his recruitment stands.
Tiger Blitz8:27 AM
LSU offers familiar 2019 big man for Wade2019 Richmond (Va.) Trinity Episcopal power forward Armando Bacot picked up an LSU offer this weekend after a solid performance in Dallas.
Tiger Blitz7:19 AM