In 2012, another highly publicised gang rape and murder of a young college student prompted India to tighten its rape laws and set up fast-track courts.
Muttreja along with Akhtar also co-wrote a letter recently decrying the rapes and demanding action.
The ordinance will be sent to President Ram Nath Kovind for approval, The Times of India reported. "Studies have shown that most perpetrators are known to child victims - introducing the death penalty in such circumstances will only silence and further endanger children". But the sentences are rarely carried out and are often struck down on appeal by higher courts.
Kathua (Jammu and Kashmir): The Jammu and Kashmir Police have informed that they are in the process of submitting a supplementary charge sheet in the Kathua rape case.More news: Copa del Rey final Sevilla vs Barcelona
Public anger boiled over after police last week made public how the girl was drugged, repeatedly raped while held captive for 5 days at a Hindu temple and then beaten to death.
The incident triggered weeks of street protests and global condemnation.
On Tuesday, Nobel laureate Kailash Satyarthi called rape and child sexual abuse in India a "national emergency", with 100,000 such cases pending in courts.
The academicians also raised concerns over the prime minister's "prolonged silence" on the issue and the "non-specific assurance of justice" for the victims of the two rape cases that have shocked the entire nation.More news: Photo storage service SmugMug acquires Flickr
On Saturday, police in central Madhya Pradesh state arrested a man over the rape and murder of a 4-month-old girl.
The girl, belonging to a Bakerwal Muslim family, was kidnapped on January 10 and her body found on January 17 near Rasana village in Hiranagar tehsil in Kathua district.
Ms Maliwal said she was happy about the government's move but said police still need more accountability and resources.
A 2016 investigation by The Washington Post of almost 400 fast-track rape courts found that those set up to speed the prosecution of rape cases do not always have the impact that advocates hope for.More news: US, China, Japan welcome N Korea's decision to suspend n-tests
Over 600 academicians and scholars from across the globe have written an open letter to Prime Minister Narendra Modi expressing their anguish over the Kathua and Unnao rape cases and held his government responsible for the bad state of affairs.