Bhat who recently posted a video on Facebook, titled Sachin vs Lata Civil War, drew plenty of criticism on Twitter.
Bollywood actor Anupam Kher, Riteish Deshmukh were among those who tweeted against Sachin and Lata being mocked.
The Maharashtra Navnirman Sena (MNS) threatened to lodge an FIR against purported video by Tanmay.
The group grabbed media attention in December 2014 after a massive controversy over an expletive-laden roast of actors Ranveer Singh and Arjun Kapoor.
Tanmay Bhatt didn't do comedy. It was offensive, unfunny & disrespectful, yet doesn't justify people taking law into their own hands.— Abhishek Singhvi (@DrAMSinghvi) May 30, 2016
Am absolutely shocked. Disrespect is not cool and neither is it funny. https://t.co/ymYPi9hxuv— Riteish Deshmukh (@Riteishd) May 28, 2016
Tanmay Bhatt is a moron ,making fun of a Lady like LataJi https://t.co/txFi8hqAFb— ❅ Keep Smiling (@upma23) May 30, 2016
Mahesh Bhatt, Sanjeev Bhatt and now Tanmay Bhatt- the list of "Bhattidiots" keep growing by the day— Alok Bhatt (@alok_bhatt) May 30, 2016
Sachin cld wear those white frocks and call him archdiocese for a day and get Tanmay Bhatt to pee in his pants and apologise.— ADI (@reviewero) May 29, 2016
Making fun of legends is absolutely fine. My only — and big — problem with Tanmay Bhatt's video is that it makes fun of old age, That's sad— Abhijit Majumder (@abhijitmajumder) May 29, 2016
Havent seen the video,but all that I have read about AIB video on Lata appears to in bad taste.Humor doesnt require you to disrespect others— Suma (@sumatweet) May 30, 2016
Sir saying "Lata ji is 5000 years old and should die" isn't humour 😊https://t.co/QKDKzQNUfb— Akshat Gaur (@akshatgaur1) May 30, 2016
Shame on #TanmayBhat who takes the advantage of popularity of others to gain cheap popularity for himself. No one can defame Sachin & Lata.— Manoj (@manoj61agarwal) May 30, 2016
Found the "die Lata" comments and references to her old age a bit distasteful and not funny. Ignore and move on!— Pratik Pandit (@dark22cross) May 30, 2016
Tanmay Bhat made fun of God Masterblaster Sachin and Nightingale Lata Di— Champ McLovin (@BolshoyBooze) May 30, 2016
Tanmay Bhat is Madarchod.
Don't be like Tanmay.
Call me prude, but "Lata Mangeshkar has wrinkles", is just not my kind of comedy. @thetanmay your body fat is gathering on ur brain— MeghaSharma (@crazyabtsrk) May 30, 2016