I'd suggest the "carried by a Star Lord comment" would refer to a standard LCT (in 3145), for me this would be comprised of 48 mechs, 18 ASFs, 72 Heavy AFVs (2 bns) and 72 Cavalry AFVs (2 bns), 12 Artillery (1 Bty), 1024 Battle armour troopers (4 AFFS bns), 72 VTOLs (2 bns) and maybe a support battalion (medical, engineers, security, MPs?)
In FM:3145 the 1st Ceti Hussars LCT (that's if Ceti Hussars are still LCTs) are mentioned as losing a Colossus in a Jump accident, plus the 17th Avalon Hussars LCT write up also mentions the loss of a Colossus to the Capellans, so obviously that implies LCTs are using them.
According to the post Jihad Objectives the Federated Suns is known to produce the following battalion sized dropships: Colossus, Excalibur, Mule, Seeker & Vengeance, with it reported the Fed-Boeing yards at Delavan will commence Overlord & Conquistador production. The smaller Gazelle and Aurora are also produced.
With these available options for a front line LCT you could build a Dropship squadron of a Colossus, Excalibur, 2 Seekers, Conquistador & Mule.
Theres more than 10000 tonnes of cargo space here, plus enough space for 72 mechs, 18 ASFs, 1600 infantry and 228 Vehicles (the Battlearmour suits (plus maybe APCs) & VTOLs could be placed in the access mech or vehicle bays or stored as cargo).
The Conquistador could be replaced with a dedicated fighter carrier, although the Vengeance is probably overkill
Id suggest a Militia or Training LCTs are probably not using this type or squadron, probably transported as cargo, maybe an Overlord with a Seeker but lots of Mules, as they wouldn't be intended to perform "hot" drops