He has been awaiting his trial since his 2008 arrest.
Nancy Cooper was found dead on July 14, about three miles from her home, after a three-day search throughout Cary.
Her husband told police she went jogging, but never returned.
Shortly after, Cary investigators ruled the 34-year-old mother's death a homicide.
Police officials searched the couple's home in Cary's Lochmere subdivision and removed several items during their investigation.
According to court documents, Copper wants authorities to return some items they took from his home and computer.
On Monday, he filed motions for investigators to hand over e-mails between Cooper and his attorneys that were on a computer police seized.
Another motion asks prosecutors to turn over all evidence in the case.
Search warrants released last year indicated Nancy Cooper was working on a plan to return to her native Canada and take the couple's two children with her.
Nancy Cooper's parents and twin sister currently have custody of the Cooper's daughters. Nancy's friend who reported her missing to authorities, told police the couple was in the middle of a divorce at the time of her disappearance.