He was not charged in relation to her death as the cause of death could not be determined.
Sciascia appeared before Judge Bridget Mackintosh for a two-day trial which began on Wednesday.
Two assault charges related to allegations by a young family member who claimed to see Sciascia hitting the baby with a cellphone to her head on October 3 and 4, 2019, Stuff reported.
Sciascia's lawyer, Eric Forster, said he denied the alleged assaults occurred. Sciascia pleaded guilty to a representative charge of assaulting his daughter at various other times.
These included "whacking her on her arse" and pinching her cheeks so hard it caused bruising, according to Stuff.
Defence evidence was not called.
Judge Mackintosh reserved her decision and Sciascia was released on bail until a date late next month.