The two fetuses were found days apart in Hillcrest Memorial Park in Lexington in 2009.
Autopsies revealed that both were female around 22-weeks along, according to Ginn.
Investigators have said they believed it was a case of a concealed birth and not a double homicide; however, the cause of death remained undetermined.
Ginn said the twins would be buried together at Evergreen Memory Gardens in Bourbon County.
Ginn said the twins DNA would remain on file in the hopes that the mother would come forward and help solve a five year old mystery.