Encarnacion hit three home runs and matched a Blue Jays record with nine RBIs in Saturday's 15-1 win over the Tigers.
Sunday's solo drive extended Encarnacion's hitting streak to 25 games, the longest in the majors since a 28-game run by Colorado's Nolan Arenado in 2014.
The home run was Encarnacion's 30th of the season, 11 of which have come in August. He has 35 RBIs this month, breaking the Blue Jays record he shared with Carlos Delgado, who had 34 in June 2003.
Encarnacion added a seventh-inning single and finished the day going 2 for 3 in the team's 9-2 victory over the Tigers.
The Blue Jays lead baseball with 184 home runs.
Information from The Associated Press was used in this report.