The FBI and the Georgia Bureau of Investigation assisted Clayton County police in the search.
Authorities have said two men wearing black clothing and armed with handguns pried open a back door of the home in the Ellenwood area around 2:15 a.m. Tuesday, demanding the family's valuables, authorities said.
Police said the armed men fatally shot the family's dog during the home invasion.
The family had moved in about a month ago and apparently didn't know the suspects, authorities said.
Ayvani's mother had her daughter and her 15-year-old son hiding inside the home, but the intruders were able to find them, police said in a statement. The men abducted Ayvani with no explanation, police said.
The crime occurred on a cul-de-sac in Ellenwood, a small community about 10 miles southeast of Atlanta populated by two-story homes, police said.
On Tuesday evening, more than 150 people had gathered in a circle and held hands in prayer at a candlelight vigil at a high school.
White House Program Cuts Up to $1k off Monthly Payments! (3.05% APR)