Cristiano Ronaldo has been awarded five Ballons d'Or, which sees him tied with Lionel Messi for the most in history.
Juventus have already wrapped up their eighth consecutive title, and Allegri's fifth in as many years since replacing Antonio Conte in 2014.
Lega Serie A said that "the chants in question, although certainly reprehensible, had objectively limited relevance" during the match.
Ronaldo made a gesture with his hand with the former Real Madrid star heard saying: "You're too small to talk."
Next season Cristiano Ronaldo and his teammates will wear a half-and-half jersey with white on the right and black on the left.
Torino looked set to commemorate the 70th anniversary of the Superga air disaster by beating Juventus following Sasa Lukic's first-half goal, but Ronaldo levelled six minutes from time.
Torino have not won at Juventus since 1995 with their only win since then against their city rivals at home in April 2015.
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The strike against Inter Milan was his 27th for Juventus in all competitions. Ronaldo scored 450 for Real Madrid, 118 for Manchester United and five for Sporting Lisbon.
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It was the 34-year-old's sixth domestic league title, having won three with Manchester United and two with Real Madrid, as he becomes the first player to win the Premier League, La Liga and Serie A.
Massimiliano Allegri doesn't mind winning ugly as he claimed his fifth league title in as many years with Juventus
Their eight straight title sees Juventus overtake French club Lyon for the record of consecutive victories in the top five European leagues.
The five-time Ballon d'Or winner had been bidding for a sixth Champions League title to add to his four won with Real Madrid and one with Manchester United.
The Turin giants have won the Scudetto more than any other team in Italy with AC Milan and Inter Milan trailing second best with 18 each.