Boca finished with nine men after Daniel Diaz and Cristian Erbes were sent off as the leaders missed the chance to secure the league crown, leading Tevez - who has scored five goals in 11 appearances since his return to the club from Juventus - to question their maturity.
The 31-year-old, who won the division as well as Copa Sudamericana and Copa Libertadores titles in his first stint with the club, demanded that his team-mates improve in time to face Tigre at La Bombonera and ensure they are crowned champions for good.
"We have got to grow up. We cannot play games like this," Tevez said.
"We cannot [finish] with nine men. In a game like this we must finish with the full 11 – then you can win.
"The expulsion of Cata [Diaz] left us reeling in the first half. Then, in the second, I did not see the Boca I like. But we have to improve other things.
"To win at home would give us the championship, but we have to grow in these things – we cannot escape it.
"We have a big squad and my team-mates and I will do our best to win the title."
Boca's defeat means Rosario Central – who they face on the final day of the season – and San Lorenzo could still displace them at the top of the table.