I believe Bioware has been quoted saying Mass Effect 3 was the last planned Mass Effect game at the time, hence why they could go with vastly different results of our choices.
Funny, I remember them saying it will be the end of Shepard's story.
So how exactly did they have enough materials for these so called descendants of the ARK to build Faster-Than-Faster-Than-Light Traveling ships?
We don't know how many of them were made in Andromeda, but materials won't be an issue anyway, since we are talking about freshly colonized territory with all it's minerals intact.
Where do these ships get food from, Dextro and Amino based to feed these people during the time between presumed cryo-thaw and arriving at Andromeda?
Not quite understand, why would they be awaken before their arrival? Once they are on suitable planet, there will be not much time until first harvest from hydroponic farms.
How exactly did they get enough resources to arm forces and build structures like we see in the trailer and concept art.
Speaking of forces, there isn't much of it. They got rifles, sure, but that's mandatory for colonists from another galaxy. And new Mako doesn't even have weapons, it's supposed to be scout vehicle. And what exactly are structures and concepts you are talking about?
Who the hell decided the krogan should come, seeing as we see a krogan in the early preview video.
They are strong, adaptive and can work in very harsh enviroment. (I'm making possible explanations here, since the actual reason is survey results)
How did such an undertaking occur enough to support a stable population.
They struggle to reproduce, but they are not sterile.
But the most pressing, in my opinion, is how the heck did the council manage to get this so called Ark out of space, without the reapers knowing, in time for the citadel to be attacked and the endings to occur in mass effect 3?
Reapers weren't omnipotent. Leviathans were hiding for thousand of cycles from them, protheans managed to hide entire planet from them. So there is nothing out of lore.