With the loss, the Cougars fell to 1-2, while the Eagles improved to 3-0. CEC visits C.P. Allen on Friday.
Running back Kamryn Matheson led the Cougars Sunday, racking up 188 yards on 14 carries and three touchdowns.
Defensive backs Riley Gabriel and Andrew Floyd each had an interception, while Dylan Beniot, Connor Richardson and Matheson had four tackles each.
The Eagles led 28-21 at halftime.