A B♭ Augmented (B♭aug) chord contains the notes A#, F#, D. It is built from the augmented formula 1 - 3 - ♯5, with Bb as the root.
Is B♭aug the same as A♯aug?
Yes. A♯ and B♭ are the same pitch, so the chords are identical on the fretboard. Which spelling you use follows the key: sheet music in B♭ major or G minor writes B♭aug, while music moving through sharp keys writes A♯aug. The shape and the sound don't change.