Androgeos Exeunt, I'd like to see a version of this mission where both the Lucifer and the Colossus have launched or are launching every fighter squadron they contain, with appropriate orders for each.
I was originally going to suggest "the Terran side knows to disarm the Super Lasers and Beams, and their primary target will be the Reactors", but I just realized that technically this Lucifer may also possess sheath shielding, therefore no fighter/bomber attack will penetrate its defenses! So, logically, the official GTVA protocol for attacking a Lucifer-class would probably involve launching all space superiority fighters to screen from bomber attack. The Colossus' bombers would not be deployed.
Therefore, the Colossus' fighter compliment, as described by its cinematic, may primarily consist of space superiority fighters, interceptors, and heavy assault fighters (exact classes unknown). The Colossus may take on more bomber wings for standard missions, but for a true Lucifer hunting configuration, a Colossus may only need as many bombers as would be necessary to pursue and destroy a Lucifer in Subspace (worst case scenario).
Regarding the Shivans, your guess is as good as mine regarding the class and quantity of small craft carried aboard a Lucifer, or the orders that would be given to these craft.