If you have Liberation of Terra I it provides a lot of the same info as FM: SLDF but provides some class examples for each squadron type on page 35.
For example for Line Squadrons it says McKennas were central, backed by the Texas and Farragut class, and escorted by Sov. Soyuz, Cameron and Riga II fleet escorts.
There's a lot of overlap, especially with a lot of the same destroyer classes appearing under multiple squadron types. Like the Riga II gets mentioned under escort, Line, Interdiction and transport (as escorts).
It's mostly what you'd expect. Though the Pursuit squadrons reference Black Lions, Avatars, Kimagures as the mainstays, with some "lighter" elements like the Aegis. That surprised me, I figured the pursuit squadrons would be fairly light and fast like faster destroyers and corvettes. But actually according to that book they rely on a core of heavier ships.
The Interdiction and Transport Squadrons get called out as being a mix of heavier and lighter vessels. The Transport Squadrons get the Potemkins and Carracks, with escorts.
Under escort squadrons it references destroyers and frigates and specifically notes the Riga II, Congress and Lola III as common.
They are definitely generalizing in that book, just providing some examples, with lots of room for actual individual squadrons to vary based on the hulls available and the unit's assignment.