Appiah is facing two counts of murder.
The adjournment became necessary because the trial judge is on leave.
The accused person allegedly murdered Louis Agyemang and Stephen Boateng.
Some body parts and intestines believed to be that of his victims were retrieved in a farm.
The Court, presided over by Ms Ama Adomako Kwakye, had earlier preserved Appiah’s plea.
Appiah has no legal representation.
Post-Mortem examination has since been conducted on bodies of the two children, now buried.