Baylor had a 16-point lead erased just after halftime, but the Bears pulled away with a 13-2 run in the second half.
Austin was 11 of 19 from the field. Cory Jefferson added 10 points for Baylor (6-3), which snapped a two-game home losing streak.
Baylor led 35-19 in the first half before Lamar came back to tie it early in the second. Trailing 38-31 at halftime, Lamar outscored Baylor 11-4 to open the second half. Amos Wilson and Donley Minor had consecutive baskets to tie the game at 42 with 17 minutes remaining.
Baylor was up 58-55 before going on its 13-2 spurt.
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Former Kentucky guard Ed Davender, the only Wildcat with at least 1,500 points and 400 assists, has died. He was 49.
Guard Naz Mitrou-Long, whose 2015-16 season ended in December due to hip problems, has been granted a hardship waiver for the coming season, Iowa State said.
As the Sooners look to life without superstar Buddy Hield and his sidekicks, it's clear their unseasoned players will need to grow up fast.
|Stephen F. Austin||18-0||-||28-6|
|Sam Houston State||12-6||6||18-16|