Matt Nichols, last season's MVP in the Big Sky Conference, threw one touchdown and completed 36 of 61 passes for 335 yards. He also threw three interceptions. Tony Davis caught 13 passes for 114 yards to lead the Eagles.
First-year coach Beau Baldwin lost his debut at Eastern of the Football Championship Subdivision. The Eagles defense pressured Harrell at times but only enough to slow Tech's usual scoring pace.
Tech had one dubious statistic. The Red Raiders set a record for the number of penalties in a game, with 18 for 169 yards.
Leach said he was "incredibly disappointed" by the penalties.
"I think we're going to find in a lot of them that we didn't have good technique and that's focus," he said.
The previous high in number of penalties came in 2000 against Baylor when Tech had 17. The record for yardage came against Rice last year when Tech gave up 183 yards on penalties.
The Red Raiders came into the game with their highest preseason ranking in 31 years and proceeded to roll to a big lead. Leach saw inconsistency in his team's tempo, offensively and defensively.
"To go out there and, you know, football's real important for two or three series but it's not important the next two after that, that's madness," Leach said. "We have to get better and we have to improve."
Texas Tech scored on three of its first four possessions before Eastern could get anything going.
Woods, who lost his starting role at running back last year, made it 7-0 on a 2-yard run on Tech's opening drive.
Harrell capped a 10-play drive with a 3-yard TD run. But Tech missed the extra point -- its first miss in 234 attempts -- and Tech led 13-0 with more than half of the first quarter remaining.
Harrell and Crabtree connected for their first score of the season when Crabtree pulled down a TD pass in the corner of the end zone late in the first quarter. Tech got a 2-point conversion with Harrell hit Detrone Lewis over the middle to put the Red Raiders up 21-0.
Crabtree caught 22 touchdowns last season.
"After the first quarter you catch up to the game speed that they have and after the second quarter, it felt like a Big Sky game," Nichols said. "We went out and made some good plays but just didn't make enough."
On the Raiders next possession, Eastern's Matt Johnson intercepted a pass at Tech's 44 and returned it 37 yards to the Eagles 7.
Five plays later Alexis Alexander ran it in from the 1 to pull the Eagles within 21-7.
Top 25 Overview
It was over when... Aaron Crawford's 6-yard TD run early in the fourth quarter extended Tech's lead to 42-24.
Gameball goes to... Graham Harrell, who threw for 536 yards and three TDs in leading the Tech attack.
Stat of the game... 3. This marked the third time in three seasons that Harrell threw for more than 500 yards.