From the official English localization of Dirge of Cerberus. Scroll past the Omega Reports in order to find the G Reports.

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Omega Reports

A total of eight reports collected throughout the game. Listed as one item in the menu, its description reads:
A disk containing information on Omega.

The full list of reports:
– Discovery!
– No New Findings
– Alternate Theories
– The Terrasystem
– Omega and Chaos
– Impurities
– Chaos
– Protomateria

Though not revealed via signature, the context of the game’s story and the reports show that the first four reports are written by Grimoire Valentine and the other four are written by Lucrecia Crescent.

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Discovery!:
-Ancient Tablet Discovered-

Soul wrought of terra corrupt,
Quelling impurity,
Purging the stream,
To beckon forth an ultimate fate,
Behold mighty Chaos,
Omega’s squire to the lofty heavens.

After further study of the tablet by our research
team, it has been determined that this passage was
written by the Cetra over two thousand years ago.

No New Findings:
-Memo-
Could “Omega” be a place and “Chaos” a person?
While our search of the site has continued,
we have been unable to locate any new artifacts
that may help us to answer our many questions.

-Promised Land-
Quite a few of my colleagues have come to the
conclusion that Omega may be the fabled
“promised land” to which legend states the Cetra
are to lead us. However, I still have my doubts.
If Omega were an actual location, then how could
Chaos be its “squire to the lofty heavens”?

Next month, administration will finally be sending
me the assistant I have been asking for. Rumor has
it she graduated at the top of her university class.

Alternate Theories:
-Memo-
Review of several dated reports on our world’s
Lifestream have shed new light on my theories
about the Cetra inscription. Just as we are born
from the flowing matter below our feet, I now
believe that Chaos and Omega may also be sentient
life forms that the planet creates at its own will.

If we were able to discover the exact location
where these two beings are to be born, the
scientific repercussions would be enormous.

I was informed by a fellow paleontologist this
morning that the company had discovered another
Cetra artifact, and a new large-scale research
project was scheduled to begin. She also said that
my assistant had been offered a place on the team.

The Terrasystem:
-Memo-
The more I learn of this wondrous planet’s
inner-workings, the more I am in awe of that
which lies before me.

Omega… Part of a system created by our world
to preserve the constant circulation of life. And
therein lies the key to solving this mystery…
For many years it has been documented that
local legends not only speak of this phenomenon
in terms of a planetary scale, but also suggest
that the entire cosmos may follow the same rules.

I must say, I am quite pleased with the work of
my fine assistant. Her ardent approach to the tasks
before her will most certainly lead us to the many
answers which continue to elude our team.

Omega and Chaos:
The two names which appear on the tablet…

If Omega is to act as the ark which guides all life
to the boundless sea of stars…then what of Chaos?

The ancient inscription implies that his duty is to
“beckon forth an ultimate fate.” Perhaps it is he
who is destined to lead us to Omega.

Soul wrought of terra corrupt…
What message lurks behind these ominous words?

Impurities:
-Impurities in the Lifestream-

The spring that Dr. Valentine discovered is amazing!
I am certain that it is some sort of reservoir for the
“terra corrupt” mentioned on the Cetra tablet.

The doctor believes the crystalline spring contains
contaminated deposits of bioplasma that have
overflown from the pure Lifestream. In fact, all
of our readings indicate a strange type of energy
radiating from the site. Could this grotto be the
location where the legendary Chaos is destined
to be born?

Chaos:
My conscience tells me that I must leave some sort
of record documenting all that I have attempted.

That which slumbers within him…
The antithesis of Omega… Chaos.

Soul wrought of terra corrupt…
Before Omega begins his journey to the sea of
stars, Chaos will scourge the world of all things
living, sending them back to the Lifestream…

Only to be left with the burden of bearing
the discarded remnants of a dying world.

And it was I who…
I am so sorry…

Protomateria:
-Protomateria-

I have determined the materia found by
Dr. Valentine at the fountain of Chaos to be a
type of refined anti-matter formed within the
grotto over the past several millennia.

I believe the planet created this instrument
out of necessity as a means to control Chaos
and prolong its own inevitable fate.

By controlling Chaos, the planet also succeeds
in preventing the advent of Omega. If Chaos is
allowed to fulfill his destiny of destruction,
Omega’s awakening cannot be far behind.

That is why I…

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G Reports

A total of three reports collected throughout the game. Listed as one item in the menu, its description reads:
A disk containing data on “G”
If all three are obtained…

The description hints at the fact that obtaining all three disks unlock the secret ending where “G” appears.

Full list of reports:
– Taboo
– A Single Record
– Below Midgar

It is not revealed in the game who is the author of these reports.

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Taboo:
The Shinra Company is feared across the globe
for its ruthless army, SOLDIER.

However, there are two members of this legion
of whom few have the courage to speak.

While one is well known: the infamous “S”
–a symbol of strength and destruction–
the other remains shrouded in an eldritch veil
of shadows. All records of this man’s existence
have been deleted; the only remnant of his legacy
being the lone letter “G”.

A Single Record:
“G”…
We can only begin to imagine who this enigmatic
warrior might be.

There are rumors that he was a biochemically
constructed prototype for the soldier who would
become “S”. However, there are no documents to
supports these claims. In fact, there is so little
information on “G” that his existence may be
nothing but a fabrication.

The only thing that may give insight into this
mystery is a lone personnel record which indicates
that several years ago, a soldier 1st class was
assigned a top-secret mission to pursue a target
referred to only as “G”. Unfortunately, any further
data on this mission has been lost or destroyed…

Below Midgar:
“G” slumbers below Midgar…
Silently abiding his awakening…

Or so tell the stories of the vagrants who dwell in
the slums of the mephitic metropolis. However,
could there exist some truth behind these rumors?

Being one of the few who was involved in their
construction, I know all too well of the vast
caverns that sprawl deep beneath our city’s streets.

This will more than likely be my final entry. The last
fragment of data I have uncovered reads as follows:

Soldiers branded with epithets of color…
These are the hellspawn of “G”.