Does anyone have any information regarding the origin and meaning of the Triple Cross???
Triple cross? Be more specific.
Are you referring to the 3 bar cross? There are several versions. The Maronite Catholic Church has the Antiochene or 3 bar cross. You can see it inside the Synod logo here below.
The Antiochene Cross (three bar Cross) is in the center to represent the tree of life as envisioned by the Syriac writers. It also represents the unity between bishops, patriarch and the Holy See. Under the Cross there is Christ's promise "I am with you to the end of time". The color gold represents God's benevolence.
There is another 3 bar cross that belongs to the Russian Orthodox Church.
The top bar is the title-board, which Pilate ordered to be hung in mockery over Christs head on the Cross. The middle bar is that on which the Lord's hands were nailed. The slanted bottom bar is the footrest.