He also took a dig at cricketer Virender Sehwag and wrestler Yogeshwar Dutt, who trolled Kaur after her campaign "I am not afraid of ABVP" went viral.
"If a hardly literate player or a wrestler troll a pacifist daughter of a martyr it's understandable but what's wrong with some educated folks," Akhtar tweeted.
Kaur, 20, the daughter of army martyr Captain Mandeep Singh and a student of Lady Sri Ram College, had started the campaign following the violence at Ramjas College.
It received massive support from students across various universities.
Rijiju had taken to Twitter to criticise Kaur.
"Who's polluting this young girl's mind? Strong armed forces prevent a war. India never attacked anyone but a weak India was always invaded," the minister of state for home had said.
Responding to Rijiju's comment, Akhtar tweeted, "Mr minister, you have condemned the left by falsely accusing them for celebrating soldiers killing n not a word about AVBP. Grossly biased."
"I don't (know) about her but Mr Minister I know who is polluting your mind," the 71-year-old lyricist added.
Kaur withdrew from her social media campaign after allegedly receiving threats from the members of the RSS-backed outfit.