Playing on the shortstop side of the bag in the shift, Betts went back for a popup like a wide receiver hauling in a pass over his shoulder.
Betts later turned a double play playing behind second, running to the base and firing to first to complete it.
Trea Turner, acquired from Washington last week, is expected to play second and Max Scherzer is scheduled to start Wednesday in the second of the two-game set.
Justin Turner hit his 20th homer with a three-run shot in the seventh and Betts connected off catcher Bryan Holaday, pitching the ninth, for his 15th.
To make room for Betts, the Dodgers optioned utility man Zach McKinstry to Triple-A Oklahoma City.