The regular-season champions won both games, 5-3 and 7-0, removing any need to come back for a third and deciding game.
Doug Hill gave Cardinals the perfect start to the final day of the season when he belted a home run off the first ball of the first game, before Matt Watts replied with his own big blast for Dodgers in the bottom of the first inning.
It remained 1-1 until the bottom of the fourth inning, when Watts scored on a sacrifice fly from brother Cam to give Dodgers a 2-1 lead.
Cardinals made their big move in the fifth, pouring in four runs - three on errors and one from a Tane Mercer RBI single.
That was the end of the scoring until the bottom of the seventh inning, when Logan Herbert hit an RBI double for a consolation run for Dodgers.
In the second game, Cardinals grabbed an early 2-0 lead through the first inning and added a third run in the second.
Cardinals moved to 6-0 with a Mitchell Finnie two-RBI single and a Grant Phillips RBI single in the fourth inning, and iced the shutout and the season with a solo Riki Washington homer in the fifth.
Jacob Wedlock pitched both games for Cardinals, and proved typically difficult for the Dodgers batters.