So, why no one ever mentioned the Andromeda Initiative in the trilogy?

The real problem is not even that they retconned the original trilogy in a colossal way, making many things irrelevant and greatly shattering the coherence of the universe. I can just pretend (in a way it's not really pretending) Andromeda don't exist when I replay the trilogy.

The problem is, what can we truly expect for Andromeda from the people who thought this was a good idea? What kind of story they can deliver?

I think mentioning the existence of a big-ass ship during a war against big-ass ships would kind of make sense, especially if the whole plan is about "building this thing we know nothing about and hope it works".

Hell, the galaxy is BIG. If the Reapers took as much time in destroying other planets as they did Earth, i feel like building a couple of those things would have been possible (not taking in consideration the resources to actually build them, because if we did than this ship's existence is just non-sensical at best[in lore, i don't think even Protheans ever managed to build something that size. Maybe the cannon that destroyed that one Reaper Cerberus was studying in ME2 comes close, but dunno])

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Oh, of course!  They managed to reverse engineer Sovereign's drive core, then build 4-5 of them for ships that are dreadnought+-sized all in the space of two years because they already built these massive ships without having a clue how they were going to get them to Andromeda.  God thing Sovereign attacked or that would have been a colossal waste of time!

Oh, of course!  They managed to reverse engineer Sovereign's drive core, then build 4-5 of them for ships that are dreadnought+-sized all in the space of two years because they already built these massive ships without having a clue how they were going to get them to Andromeda.  God thing Sovereign attacked or that would have been a colossal waste of time!

Because you don't build lesser military vessels if you could build better ones. This would be like an US Carrier being orders of magnitude less advanced than a commercial cruiser.

The codex literally states that building larger vessels is impossible beucase of financial issues. Now, you don't say that if you are actually buildings ships that are much bigger than the ones you see in the trilogy. 

I said this before. My main concern with the ships is what defenses will they have? It's nice a big ship can be built and travel to another galaxy, but if can't defend itself, what's the point. Sure the enemy can out gun us no matter what defenses we have, but its still nice to have something.

My guess is Gardian lasers

.....

Maybe. I know there's a line of dialogue mentioning them on the dreadnought and how expensive they are
If that's the best they have, hopefully its enough to defend.

Don't forget the broadside guns too.  They are the main power on "close" ship to ship combat since Gardian lasers lack firepower against bigger ships.
Also the maintenance of ultraviolet laser was costly but their effective range is better than infrared (6x) and they have better stopping power.