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   Nobody can really say what an augmented chord is unless they use specific tones, An 'augmented chord' can be twisted to mean whatever you want but it mainly refers to the ('major chord' with a 'raised 5th' (1 3 5#))...

   If you play a minor chord and raise the 3rd then you have a major chord, So is the 'major chord' a 'minor chord with an augmented 3rd'?

   If you augment the 4th of the 'Key of C' then you end up with the 'Key of G'...

   You should see that the term 'augmented' is somewhat vague with the exception of the standard augmented chord (1 3 5#), There are actually three (3) augmented chords for any one key...

   In the Key of C you can create three 'augmented' chords that are the 'common' 'augmented' chords, This applies to the 'major chords' of any key, So in the Key of C you apply the (1 3 5#) formula to the C major, F major and G major...

C major (1 3 5)

C Augmented (1 3 5#)

F Major (1 3 5)

F Augmented (1 3 5#)

G Major (1 3 5)

G Augmented (1 3 5#)

   When you 'augment' each major chord then you should think of the augmented scale instead of the augmented chord, When you create the Caug then you aumenting the (5th of the Key of C), When you create the Faug then you are augmenting the (1st of the Key of C), When you create the Gaug then you are augmenting the (2nd of the Key of C)...