Carrier Battle Groups obviously aren't entirely about the carriers.

A Vasari CVBG would consist of 1+ Skirantra Carriers, 1+ Antorak Marauders, and then lots of Lasurak Transporters, some Ravastra Skirmishers and a few Stilakus Subverters.

The Lasuraks, with Fighter and Bomber Squadrons divided evenly, would provide the core firepower of the fleet. The Ravastras with their speed and AntiHeavy weapons could hunt down enemy flak. The Skirantras would put up their own Fighter Squads, provide Repair Clouds for the strike craft, and maybe even put up a Microphasing Aura. The Antoraks would provide a necessary speed boost with Distort Gravity to get the carrier fleet away from direct-firing enemies, and along with Stilakus Subverters, they could make attacks on the enemy fleet with Defeat Shields, Distortion Field and Phase Out Hull to amplify the effectiveness of strike craft attacks.

An Advent CVBG would consist of 1+ Halcyon Carriers, a Rapture Battlecruiser, lots of Aeria Drone Hosts, a group of Iconus Guardians, and some Disciple Vessels.

The Aerias would carry the Fighter/Bomber Squadrons which provide the firepower, the Guardians would use Shield Projection and Repulsion to protect the fleet from direct-fire opponents, the Halcyons would provide some stronger squads with Adept Drone Anima and some bomber defense with Telekinetic Push, the Rapture would obviously use it's Concentration Aura, and the Disciples would hunt flak and provide an antimatter tank for the Guardians and caps.

The TEC would depend on Sova Carriers with Heavy Fighters and Rapid Manufacturing for any degree of air superiority, and their Percherons would thus have to be all-Bombers or with only a few extra Fighters for anti-LRF duties. The Cobalt would be as effective as the others in flak-hunting with it having the same speed. But the TEC support cruisers don't have abilities that really support carrier fleets much. On top of that, their normal(non-Heavy) Fighters and their Bombers are kind of lousy.

You guys go into this great detail about your fleets... All I do not even worry about adding ships in! With Advent 3 Halcyon Carriers and 15 Aeria Dron Hosts can kill just about anything with waves of fighters, including the Flacks. I clear Pirate bases with ease using the fleet listed above.

Of course my units are all upgraded. I research up pretty quick.

That should (and probably would) lose to an equal fleet of Def Vessels, unless you completely out-tech the opponent.
So given equal grounds you'd be too one-sided.

Ofc, that is assuming the opponent is prepared. If he ain't fat chance you can plow all over him. Then he'll start hastily cranking out flak frigs, and you can meanwhile build HCs to counter those. *grin*

(yes, most people are that predictable, it's sad)

As advent i use carriers with bombers to clean up planets.

I just run from planet to asteroid chasing people who run, or after smashing their fleet, to get to their more important spots and along the way ill leave 4-6 carriers with bombers to clean up buildings on those now undefended planets.
They do the best for that as you can retreat them easily and defenses cant shoot them.(except fighters in hanger def)

But you only need 1 flak per 3 carriers to stop them.. Flak are extremely powerful at killing fighters, especially sentinels with their AOE. Flaks counter their counter better than any other unit counters their counters, which is understandable as fighters/bombers are very good.

That's why a carrier fleet would have to have a compliment of Light/Long-Range Frigates to kill the flaks, and in the case of the Vasari, an Antorak Marauder(or multiple). Since flaks generally don't come around in large numbers, the frigate group should be able to kill them and escape the enemy's actual fleet with their speed.

The Antorak helps in this because it can keep up to 5 of the enemy's heavy cruisers or capital ships out of the battle with Phase Out Hull, or even Phase Out the flak screen just before the Bombers make their attack run. Survivability would be a non-issue for the Marauders and their escort frigates with Distort Gravity allowing them to get away whenever they want.