Nystul's Magic Aura (PHB p.263) lets you
[...] change the way the target appears to spells and magical effects, such as detect magic, that detect magical auras. You can make a nonmagical object appear magical [...]
And with Identify (PHB p.252) you can (emphasis mine)
[...] choose one object that you must touch throughout the casting of the spell. If it is a magic item or some other magic-imbued object, you learn its properties and how to use them, whether it requires attunement to use, and how many charges it has, if any. You learn whether any spells are affecting the item and what they are. If the item was created by a spell, you learn which spell created it.
My question is, whether Identify counts as spell "that detect[s] magical auras". If it does what would it show to the caster when it is affected by Nystul's Magic Aura. Can the caster of Nystul's Magic Aura choose the effect Identify shows?
Also, what are other spells or effects than detect magic that "detect magical auras". Do they have to explicitly mention that they work by detecting magical auras?