The standard grips this chord is usually shown with.
Aaug9 is A, C#, E#, G and B, a augmented ninth. The shape this page opens on is written 323223, lowest string first.

Also written A9#5, A+9 or A9(#5). The same chord either way; which spelling you meet depends on who wrote the chart.
There are 11 common shapes for Aaug9 on the guitar, and 24 derived voicings in 3 families.
The common shapes, written lowest string first: 323223, x03423, 543005, 54546x, x05667, 5x5667, xx5667, 9-10-9-10-10-9, x-12-11-12-0-13, x-12-11-12-12-13, 15-14-15-14-14-15.
Shell. Root, third and seventh: the guide tones fix the quality, so the fifth is dropped. That is what leaves a string free, so pick a tension to put on top. Aaug9 has 5454xx, x0566x, xx7687, x-12-11-12-12-x, x0x021, 5x566x, x-12-x-12-14-13, x0x027.
Rootless. The root left to the bass player. Frees a finger for a tension. Aaug9 has x2302x, xx3423, x4546x, xx5667, x-x-9-10-8-9, x-10-11-10-12-x, x-x-11-12-12-13, x2x021.
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. Aaug9 has x03423, x4300x.
Tensions. A shell of Aaug9, root, third and seventh, leaves a string free, and the tones that belong over it are the #11 (D#).
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.