An interventionless bi-directional barrier device of a downhole tool for use in a wellbore and a method of utilizing the barrier device to control the flow of production fluids in the wellbore are described herein. The barrier device includes a flapper mechanism having first and second flappers articulably linked together and articulably linked to a base member that is slidable within the downhole tool. The flapper mechanism provides a seal between opposing uphole-and downhole ends of the downhole tool upon actuation thereof. The method of controlling the flow of production fluids in the wellbore includes closing the barrier device to block flow through the tool, supporting the barrier device from a pressure exerted from a first direction, and supporting the barrier device from a pressure exerted from a second direction.