The standard grips this chord is usually shown with.
Eaug9 is E, G#, B#, D and F#, a augmented ninth. The shape this page opens on is written 030132, lowest string first.

Also written E9#5, E+9 or E9(#5). The same chord either way; which spelling you meet depends on who wrote the chart.
There are 9 common shapes for Eaug9 on the guitar, and 26 derived voicings in 3 families.
The common shapes, written lowest string first: 030132, 054554, 454554, x76778, 0-9-10-9-9-10, 10-9-10-9-9-10, 12-11-12-11-13-x, 12-x-12-13-13-14, x-x-12-13-13-14.
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. Eaug9 has xx2132, 0565xx, x7677x, 12-11-12-11-x-x, x-x-14-13-15-14, 0x011x, x7x798, 12-x-12-13-13-x.
Rootless. The root left to the bass player. Frees a finger for a tension. Eaug9 has xx0112, xx4534, x5657x, xx6778, x-x-10-11-9-10, x-11-12-11-13-x, x-x-12-13-13-14, x3x132.
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. Eaug9 has 05657x, 0x4534, 050574, x56570.
Tensions. A shell of Eaug9, root, third and seventh, leaves a string free, and the tones that belong over it are the #11 (A#).
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.