Tabary hit Lawayne Ross on a 13-yard screen pass for a second-quarter score, then capitalized on Jermaine Antoine's fourth-quarter interception of a Dallas Sealey pass by hitting Benjamin Jones for a 16-yard TD.
Pratt capped the Cowboys opening drive with a 4-yard scoring run and scored on a 1-yard run in the third quarter.
The Cowboys (5-4, 4-3 Southland) outgained the Wildcats 379-244 total yards and got five sacks, the most in a game this season. Gunnar Raborn kicked field goals of 27 and 37 yards.
Dylan Douglass recovered a first-quarter fumble by Ryan Ross and Sealey hit Troy Grant on a 13-yard pass two plays later for Abilene Christian (1-8, 1-6). Tracy James scored on a 1-yard run in the fourth quarter.
Dailies: Lara-esque Kusal Perera guides Sri Lanka home
All the top stories from 16th February feature in our round-up
Vols shuffle staff, name Raiders' Derrick Ansley as new DC
The Tennessee Vols have shuffled their coaching staff and named former Oakland Raiders assistant Derrick Ansley as defensive coordinator and defensive backs coach.
The 2019 quarterback recruits who could shake up next year's transfer market
Oklahoma's Spencer Rattler is one of several incoming quarterbacks who could shuffle the depth chart at their programs.
Arrest warrant issued for Nebraska's Maurice Washington in explicit video case
An attorney for Nebraska RB Maurice Washington said Thursday he never told the school about the nature of potential charges against the player in a pornography case that cropped up just as last season was getting started.
Missouri appeals NCAA sanctions, calling penalties 'overly harsh'
Missouri vowed to fight NCAA penalties against its football, baseball and softball programs, with athletic director Jim Sterk saying the case involved "an isolated incident within our program."
NCAA committee reviewing college football's transfer guidelines
The guidelines used when the NCAA reviews the eligibility of athletes to immediately play after transferring are under review by a committee, the organization said.