McConnell, 27, denied the attack on 10 March, calling Miss Davis a “blatant liar”, but was convicted of assaulting her following a trial earlier this week.
He was sentenced at Liverpool Magistrates’ Court on Friday to 20 weeks, suspended for 12 months, and 200 hours community service.
Former Hollyoaks actress Miss Davis said McConnell had threatened to throw acid in her face during a drink and drug-fuelled argument at her home in Merseyside.
The judge was shown photos of a bruise on her arm that Miss Davis said was caused by McConnell biting her, as well as extensive bruises to the rest of her body and legs.
The couple had been out for a meal with friends in Liverpool to celebrate Miss Davis’s 24th birthday but when they returned home McConnell left to go to the pub with two of the friends.
Miss Davis said he returned home and had been taking cocaine.
“He was calling me a slag,” she said. “He said that I was fat, he said that no one was going to want to touch me again.”
Miss Davis said McConnell left the house again but later returned and began kicking the doors in an attempt to get in.
She said she let him in because she was scared he would smash the glass patio doors.
He followed her upstairs where she was in the bedroom holding their eight-week-old son, Caben-Albi.
The court heard McConnell punched Miss Davis in the head and pushed her against the wall twice as she held their baby.
The judge imposed a restraining order on McConnell for three years, banning him from contacting Miss Davis except through intermediaries and for the purpose of contact with their child.
The judge told McConnell he had shown no remorse and attacked his ex-girlfriend as she held their baby in her arms.
McConnell told the court he was defending himself against Miss Davis, who attacked him after learning he had taken cocaine.
The pair met on Celebrity Big Brother in 2016.
James Morris, mitigating for McConnell, told the court the 27-year-old’s upbringing and a series of personal family tragedies had left him with “demons”.