The standard grips this chord is usually shown with.
Abaug9 is Ab, C, E, Gb and Bb, a augmented ninth. The shape this page opens on is written 212112, lowest string first.

Also written Ab9#5, Ab+9 or Ab9(#5). The same chord either way; which spelling you meet depends on who wrote the chart.
There are 8 common shapes for Abaug9 on the guitar, and 20 derived voicings in 3 families.
The common shapes, written lowest string first: 212112, 434350, 4x4556, xx4556, 898998, x-11-10-11-11-0, x-11-10-11-11-12, 14-13-14-13-13-14.
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. Abaug9 has 4343xx, xx6576, x-11-10-11-11-x, 4x455x, x-11-x-11-13-12.
Rootless. The root left to the bass player. Frees a finger for a tension. Abaug9 has xx2312, x3435x, xx4556, xx8978, x-9-10-9-11-x, x-x-10-11-11-12, x-x-14-15-13-14, x3x352.
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. Abaug9 has 070576, 0x6576.
Tensions. A shell of Abaug9, 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.