No, the One, Holy, Catholic, and Apostolic Church did not manipulate the Ten Commandments and, as Holy Mother Church is the Lawful Guardian of Scripture and its interpretation is the ONLY Authority qualified to definitively pronounce the Ten Commandments.
Here’s, yet again, another summary.
(1) The Ten Commandments aren’t ascribed a specific numerical ordering Scripture.
(2) The One, Holy, Catholic, and Apostolic Church has the Sui Generis Authority to identify, state, define, and formulate the Ten Commandments.
(3) It’s even clearer to me that you really do not understand what Latria is or where the word “Idolatry” comes from (“Idol” “Latria”).
Set forth below at left are the Authoritative 10 Commandments as formulated by Holy Mother Church.
Set forth below at right are the “courthouse 10 commandments” which correspond generally to the e-vangelical version.
The Authoritative First Commandment pronounced by Holy Mother Church is:
1I am the Lord your God: You shall not have strange Gods before me.
The Authoritative Second Commandment is:
2. You shall not take the name of the Lord your God in vain.
The courthouse version says:
1I am the Lord thy God, thou shalt have no other gods before me.
But it then adds a second “commandment” that says:
2. Thou shalt not make unto thee any graven image.
After a brief reflection it’s clear that the “courthouse 10 commandments” have a superfluous second commandment.
What is making the making of a “graven image” but putting a strange “god” before Our Lord.
Pope Saint Pius X explains as follows in his 1908 Catechism:
Q. What is forbidden by the First Commandment?

A. The First Commandment forbids idolatry, superstition, sacrilege, heresy, and every other sin against religion.
Q. What is idolatry?

A. Idolatry is the giving to any creature, for example, to a statue, to an image, or to a man, the supreme worship of adoration that belongs to God alone.
Q. How is this prohibition expressed in Holy Scripture?

A. This prohibition is expressed in Holy Scripture in these words: Thou shalt not make to thyself a graven thing, nor the likeness of anything that is in heaven above, or on the earth beneath; and thou shalt not adore them or serve them.
Q. Do these words forbid every kind of image?

A. Certainly not; but only those of false divinities, made to be adored, as idolaters adore them. So true is this, that God Himself commanded Moses to make images, as, for example, the two statues of the Cherubim for the Ark, and the Brazen Serpent in the desert.
#CatholicX
Regardless of how Augustine numbed them, the 2 stone tablets that God wrote with his own finger included the word "images" as per Exo 20:4-6, and no amount rearranging by the church could eliminate the prohibition of bowing to such things, they are set in stone.