Auditioning with two arias - which one first???

Should I start off with more emotional one (Augusta! - Ballad of Baby Doe) or the huge sing (Re'dellabisso - The masked Ball-Verdi)???

Hard and fast rule- sing the one you do the best first.
The idea of first impressions are definitely at play here, and if you're the slightest bit nervous about technique, it'll show up like a blot on the full moon. Give them a first impression that's positive.
And who says that Ulrica is less emotional than Augusta?
She's calling on the powers of darkness, and if you're good at it, you should have your audience sitting chilled to the bone. They're the ones who ought to be experiencing the emotions, you're just the channel for them. Don't get caught in them yourself.
Best wishes
Go break a leg!

I don't think that there is any objective argument to find out what to do.
I would say, start with the one you feel most comfortable with as this gives you a good start.
Best of all, prepare both of them very well and ask the Jury what they want to here first.
Good luck with your audition!!

I don't know why, but slow-fast always works better than fast-slow.
That's why French overtures are slow-fast.
That's why cavatina-cabaletta's are slow-fast.
That's why some well-known arias, such as "Ah fors'e lui/Sempre libera" from "La Traviata," are slow-fast.

I'd start with "Augusta!", but that's just because it'd be my personal preference to begin with an emotional one and to then build up to the "huge sing".

I'd start fast... If you know you can blow both songs, you might as well guarantee your next round song... Then you can show them your true dimensions in your auditioning and close them out with a more lyrical song such as Augusta... Good luck...

Do you know for sure you'll get the chance to sing both arias?

Sing the one you know better/sing better. Make the best possible impression.

if it's a large hall, i'd do the huge sing last. if it's an intimate hall, i'd do the the emotional one last. leave them with the one that will serve them best.