Kershaw was two outs from a complete-game shutout before Chris Owings lined an RBI double in the ninth inning. Owings was 2-for-4 against Kershaw.
Toles hit his third home run of the season, a two-run shot in the eighth that capped the scoring for the Dodgers (6-5). Justin Turner had two RBIs and Adrian Gonzalez, Logan Forsythe and Yasiel Puig each drove in a run.
Greinke (1-1) experienced another rough outing in the City of Angels. He was tagged with five runs and 10 hits with four strikeouts and three walks in five innings.
Greinke, who served up five home runs to the Dodgers in a 10-2 loss in September, is 1-3 against Los Angeles since signing with Arizona before last season.
Gonzalez's RBI single scored Corey Seager, who reached on a base hit, with one out in the third for a 1-0 lead. Forsythe followed with another run-scoring single for a 2-0 edge.
In the fourth, after a two-out single by Toles and a walk to Seager, Turner drilled a two-run double to right for a 4-0 Los Angeles advantage.
Puig's sacrifice fly in the fifth drove in Forsythe for a 5-0 lead.
NOTES: The Dodgers will unveil a statue of Jackie Robinson in a pregame ceremony on Saturday. Among the scheduled attendees: Robinson's wife Rachel and their daughter Sharon and son David Robinson; Dodgers part-owner Magic Johnson; Vin Scully; Tommy Lasorda; Sandy Koufax; Don Newcombe; and Frank Robinson. ... Dodgers LHP Rich Hill (blisters on pitching hand) will return to the mound Sunday, the first day he can be activated from the 10-day disabled list. Hill (1-0, 1.80 ERA) will face Diamondbacks RHP Taijuan Walker (1-1, 4.91). ... Diamondbacks 3B Jake Lamb got the night off with a scheduled rest. ... Dodgers RHP Pedro Baez (right wrist contusion) was activated from the disabled list. To make room, RHP Josh Fields was optioned to Triple-A Oklahoma City. ... Arizona LHP Patrick Corbin (1-1, 1.80 ERA) will oppose RHP Kenta Maeda (1-1, 6.30) on Saturday.