LJP demanded that the ad spoof should be called off air immediately and that Mallya should apologise for it.
"This is not just an insult to Harbhajan Singh but also to his family and the Sikh community," LJP youth wing president for Punjab Parminder Singh Kala said.
The United Spirits was served with a legal notice by Avtar Kaur, Harbhajan's mother.
Harbhajan and Dhoni endorse rival brands. The Indian skipper in an McDowell's No 1 Platinum advertisement allegedly makes fun of Harbhajan, who had featured in a advertisement for Royal Stag.