Omra, who was aged two years and three months, had suffered repeated abuse before her death, including burns caused by the metal of a cigarette lighter.
Police were called to reports of an unresponsive child in Levenshulme on 30 November 2023.
Naim initially told paramedics her daughter had choked on a biscuit. Before pleading guilty, she claimed Omra had choked, fallen and hit her head on a baby bouncer and that she had shaken her in an attempt to revive her.
Doctors later found Omra had suffered a brain injury as well as other unexplained injuries, including burns, bruising and a fractured rib.
Her father, Firooz Wali Jan, 32, was jailed for six years and nine months after admitting child cruelty. He was not at home when Omra suffered the fatal injury.
The Court of Appeal heard the couple had moved to the UK from Afghanistan in 2021 and did not speak English.
Naim rarely left the flat and said she had been abused by Jan. Her barrister, Caroline Carberry KC, described her as socially isolated and in a “controlling marriage”.