The standard grips this chord is usually shown with.
Aaug is A, C# and E#, a augmented triad. The shape this page opens on is written xxx221, lowest string first.
Note by note. A is the root, C# is the major third and E# is the sharp fifth.

Also written A+, A(#5) or A augmented. The same chord either way; which spelling you meet depends on who wrote the chart.
There are 9 common shapes for Aaug on the guitar, and 45 derived voicings in the triad family.
One note away. Change a single note of Aaug and you have A (with one note moved), Amaj7#5 (with one note added), Aaug7 (with one note added), A/E (with one note moved), A/F (with one note added) or A/C# (with one note moved).
The common shapes, written lowest string first: xxx221, x03221, 54322x, 5x7665, xx7665, x-x-11-10-10-9, x-12-11-10-10-x, x-12-x-14-14-13, x-12-15-14-14-x.
Under the hand. 1 of the 9 shapes here sits in open position, and the first uses 1 open string with 1 left unplayed. None of them needs a barre. Together they cover the neck from the 1st fret to the 15th.
Triad. Three notes across one string set. Aaug has xxx221, xx3221, x432xx, xx322x, x0322x, x4322x, 543xxx, xxx665.
What kind of chord this is. Aaug is a augmented chord — root, major third, sharp fifth. augmented chords on every root, and what they are for.
The common shapes and the derived voicings come from different places, and both are explained in where the chords and the theory come from.
Shows each chord the way this style would voice it, and marks which of its alternatives belong to the idiom.