Let's be real pedantic here and say that there is a difference between an augmented triad and an augmented seventh (four notes). The corollary is the diminished chord wherein the triad sounds ugly and the diminished seventh (four notes) is mostly used.

If in the bass row, you can eliminate the fifth of the major or minor chord, you can play the augmented note with the right hand.

The augmented and diminished chord is rarely used in trad folk music.

This is probably why I am a guitar player and not an accordionist since I use
those chords all the time.