The standard grips this chord is usually shown with.
Faug7 is F, A, C# and Eb, a augmented seventh. The shape this page opens on is written 10122x, lowest string first.

Also written F7#5, F+7 or F7(#5). The same chord either way; which spelling you meet depends on who wrote the chart.
There are 6 common shapes for Faug7 on the guitar, and 27 derived voicings in 4 families.
The common shapes, written lowest string first: 10122x, xx3645, x878x9, x-8-11-8-10-9, 13-12-13-x-14-x, 13-x-13-14-14-x.
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. Faug7 has 1x122x, x-8-x-8-10-9, 13-x-13-14-14-x, 1016xx.
Drop 2. A close-position chord with the second voice from the top lowered an octave. Sits on four adjacent strings. Faug7 has xx1221, x4324x, x6766x, 9878xx, x-x-11-10-10-11, 11-12-11-10-x-x, x-x-13-14-14-13, 1412xx.
Drop 3. The third voice from the top lowered an octave. The dropped voice becomes the bass, which is why a string is skipped. Faug7 has x4x241, 1x122x, 5x364x, x6x665, 9x786x, x-8-x-8-10-9, x-12-x-10-14-11, 11-x-11-10-10-x.
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. Faug7 has 56360x.
Tensions. A shell of Faug7, root, third and seventh, leaves a string free, and the tones that belong over it are the b9 (Gb), the 9 (G), the #9 (G#) and the #11 (B).
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.