The standard grips this chord is usually shown with.
Gaug is G, B and D#, a augmented triad. The shape this page opens on is written 32100x, lowest string first.
Note by note. G is the root, B is the major third and D# is the sharp fifth.

Also written G+, G(#5) or G augmented. The same chord either way; which spelling you meet depends on who wrote the chart.
There are 9 common shapes for Gaug on the guitar, and 47 derived voicings in 2 families.
One note away. Change a single note of Gaug and you have G (with one note moved), Gmaj7#5 (with one note added), Gaug7 (with one note added), G/B (with one note moved) or G/D (with one note moved).
The common shapes, written lowest string first: 32100x, 3x5443, xx5443, xx9887, x-10-9-8-8-x, x-10-x-12-12-11, x-10-13-12-12-x, x-x-x-12-12-11, 15-14-13-12-12-x.
Under the hand. 1 of the 9 shapes here sits in open position, and the first uses 2 open strings 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. Gaug has 321xxx, x210xx, xx100x, 3210xx, x2100x, xx1003, xxx443, xx5443.
Open string. An open string left ringing against a fretted grip. Because it costs no finger, it sounds a note the closed shape has none left for -- a tension on top, or a pedal root underneath. Either a familiar grip with open strings added, or a shape so sparse the open strings carry the chord. These belong to their key rather than to a shape, so D, A, G and E have many and Eb a handful. Gaug has x6500x.
What kind of chord this is. Gaug 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.