On the TEC side, I see an Athena, 5 Kols, 7 Colbalts, and 9 strike craft... Assuming those aren't really Corvettes since strike craft flying into battle typically group up into their squads whereas these are all separate. (But can't discount it since this is a artist conception and not a screenshot) However they appear to be in a plasma storm which has the effect of preventing strike craft launch, (or I could just be reading into the background too much) which leads me to believe these are in fact Corvettes launched from the Titan.
On the Vasari side, I see the Orkulus, 6 Kortuls, and 4 possible Antoraks.
Battle prediction: TEC wins.
While the Vasari capitals outnumber the attackers 2 to 1, the use of an Athena more then makes up for the difference in firepower brought to the fight.
Both sides disable each others abilities frequently, however the Cobalts utilize hit and run tactics and detonate the reactors of their targets allowing for the Kols to preserve their antimatter supplies for more aggressive tactics unlike the Kortuls and use them for their Gauss Rail Guns and Adaptive Force Fields. As an added bonus to the Cobalts tactics, they quickly remove the ability of the Vasari to gate in reinforcements forcing them to take the long way in chewing up valuable time and make it difficult for the Kortuls to counter this tactic by withdrawing from the engagement zone begging them to leave their damage soaking and dealing brother, the Orkulus, behind.
Other then being able to avoid taking damage by phasing out briefly until their antimatter no longer exists, the Antoraks are basically just guns brought to bear on the TEC ships. The Athena is happy to engage.
The Athena's 16 double barreled turret cannons easily outmatch the Orkulus in firepower. Due to the fact they are positioned in a ring around the ship, as the Vasari ships surround her, she responds by targeting all of them at the same time and her outer 'wings' are mostly a protective armored band that is more then ready to take the brunt of the firepower this battle is capable of producing. The Orkulus proves to be a worthy contender activating it's frontal deflector shielding and drawing more attention from the turret cannons leaving the Kols unsupported in their endeavors to destroy their nemesis capitals.
Assuming those are corvettes, and also assuming they are just larger versions of strike craft with a few new tricks, they all pick on one ship at a time and without a fighter screen to worry about, they have free reign to weaken their targets as they please. Working in conjunction with the Kol's, they fly in and drop the shields as fast as they can, leaving it up to the Kols to use their GRG's to focus fire and punch holes through each and every ship. They also take advantage of the Orkulus's positioning to engage the Titan and switch from bombs to torpedoes and attack it from it's more vulnerable behind using anti structure weaponry designed especially for them.
Strangely enough, Tchéky Karyo's voice can be heard over the comms saying "C'est la vie, mon ami!" right after the Corvettes make their final run on the Orkulus. It's power coupling destabilizes and as it's main energy production core drifts further and further away from it's upper weapons platform, systems begin to overload with power surges. Some systems compensate by shutting down, but others are left to deal with the increased load shed causing a tsunami of power to surge through every active system. The resulting explosions are just the first wave of the demise of the Orkulus.
The Athena then turns her attention to the remaining Vasari ships and quickly mops them up. All surviving TEC forces jump from the gravity well to rejoin the main battle group and await the arrival of the Vasari reinforcements that are en route.