Cousins came off the bench midway through the fourth to help boost the Kings. He scored six consecutive points, the final one a fastbreak layup that put Sacramento (2-0) ahead 107-93 with 5:06 left.
Evans helped keep the Kings lead in double digits in the third quarter by scoring on a variety of drives to the basket. He had nine points and the Kings went into the fourth quarter ahead 91-78.
Lillard connected on three 3-pointers early in the third to rally Portland and scored 11 points in the quarter.
After a productive 10-point first half, Cousins picked up four personal fouls and a technical and went to the bench midway through the third quarter.
The Kings started offseason pickup Brooks at point guard and the move had immediate benefits. Brooks made two 3s and had 12 first-quarter points in helping Sacramento to a 62-42 halftime lead.