Andre Emmett scored 30 points and Kasib Powell had a double double as the Raiders ended a two-game losing streak.
The coaching matchup was the first between Knight and Bliss, who are longtime friends. Bliss worked with Knight at West Point in 1967 and when Knight became Indiana's coach in 1971, he hired Bliss. It was Knight who helped Bliss land his first head coaching post at Oklahoma in 1975.
Tech (17-6, 6-5 Big 12) took control of the game in the first half and passed the ball deftly throughout.
The Raiders spotted open teammates and zipped and lofted the ball through Baylor's zone defense. On 36 shots from the field, Tech had 30 assists, many that led to easy baskets inside.
"The first thing I said (to them at halftime) was how well they passed and how well they looked for each other," Knight said.
Early in the game "a lot of things went our way and didn't go theirs," Knight said. "The hole just got too deep for them."
Powell scored 16 points for Tech and added 10 assists. He also snagged seven rebounds.
Nathan Doudney got all his 15 points on 3-pointers, hitting on 5-of-11 attempts, and Andy Ellis added 10.
The loss was the 14th straight for Baylor (14-10, 4-7) on opponents' home courts, a mark that dates to January 2001. It was Baylor's second largest margin of defeat this season.
"We started slow, and we couldn't pick it up," said Lawrence Roberts who scored 26 points and pulling in 14 rebounds to lead the Bears. "After that, we were just handing in there and tyring to make a game of it."
R.T. Guinn added 12 points. The Bears turned the ball over 20 times and Tech had 12 steals.
Tech was coming off back-to-back losses on the road, losing to then-No. 14 Oklahoma State and No. 2 Kansas.
Tech led 49-26 at halftime and held the Bears scoreless for five minutes.
Meanwhile, the Raiders were hot offensively and defensively. They had nine steals, 18 assists and carved out a 19-2 run to take a 22-7 lead.
They had another run of 9-0 a few minutes later and shot just better than 63 percent on 21-of-33.