Moore is charged with four counts of first-degree murder. He stands accused of killing four men in a 75-day period in 2010.
The 31-year-old Moore has pleaded not guilty to all four counts of first-degree murder.
On Monday, the jury heard a call Moore made two days after he was arrested and charged with the four killings.
In it, Moore used a fake name and said police had pinned the crimes on the wrong person.
"I'm 101 per cent sure that the...that guy that they arrested for those murders is not the guy that did the murders," Moore said during the call.
When the person on the other end of the line asked how he could know this was true, Moore said "the names that I heard through the streets were...Slinky and Reds."
Toronto police Det.-Sgt. Hank Idsinga, who led the investigation that culminated in Moore's arrest, testified Monday that those two names never came up in relation to the killings.
During the call Moore made to Crime Stoppers, the accused repeatedly said police had arrested the wrong man.
"I'm just concerned about this guy that got arrested...because he's a really, really nice guy," he said.
The trial continues on Tuesday.
Click on the video to see a full report from the CBC's Michelle Cheung.