Clint,
Both of these medals are related to York Rite Freemasonry.
The red ribbon appears to be (because wording is blurred) a Past High Priest medal. Both the Triple Tao (top) and emblem of High Priest (fob) are tied directly to York Rite Chapter degrees, and or the presiding officer of the Chapter or High Priest (same as Worshipful Master). The pendant/fob with the Christian Cross and the wording “In Hoc Signo Vinces” (In this sign we’ll vindicate) is the most recognizable symbol of the modern Templar Knight order, and is indicative of the highest York Rite Order (Order of the Temple).
Your great grandfather was an active member of the York Rite. Since you mentioned that he was in Louisiana, this is not surprising. I am willing to bet that he was also active or participated in the Scottish Rite version of the first 3 degrees of Freemasonry, which is actively practiced within the state. Most of us will only see the York Rite versions.
I hope this helps.