Ryan Francis Barnett, 31, and Nancy Rushton McCorkle, 50, were arrested by UNC police on Monday. They were accused of denigrating the Unsung Founders Memorial on the morning of March 31 on the Chapel Hill campus.
Barnett is also accused of vandalizing an outdoor art installation near the university's Hanes Art Center, police said. It was blurred with "hate-filled sayings and racist insults," Guskiewicz said.
"The majority of the blurring was graffiti," said Randy B. Young, UNC press secretary, in an email to CNN.
CNN's attempts to reach Barnett and McCorkle for comments were not immediately successful. Barnett is scheduled to appear in court on April 22, and McCorkle is due to appear on April 25, according to arrest reports.
The Unsung Founders Memorial, a gift of the class of 2002, has its basic sculptures of men and men women with upraised arms that essentially uphold the rest of the piece.
The school says the Unsung Founders Memorial is a counterpoint to the Silent Sam Confederate Memorial, which made its own headlines in recent months.
Silent Sam is the nickname of the statue of a Confederate soldier, built at the request of the United Confederate Daughters. It was dedicated in 1913 to remember the "Sons of the University who died for their beloved Southland between 1861 and 1865," says the UNC website.
CNir's Amir Vera contributed to this report.