Minor barre chords change just one note of the major shapes, so you already know most of the work.
E-shape minor: barre with your index, ring on the A string and pinky on the D string, both two frets up. The G string is covered by the barre. At fret 5 it's A minor.
A-shape minor: barre the top five strings, middle finger on the B string one fret up, ring on D and pinky on G two frets up. At fret 5 it's D minor; at fret 7, E minor.
Everything here is in A minor. Pick through the shapes first; in the E-shape minor the G string relies entirely on the barre, so check it carefully.
Then change chords every two beats, and finally play a loop that mixes major and minor barres. It should sound dark and full.
The most common mistake is rebuilding the chord from scratch on every change. Keep the barre shape loose but ready, slide the whole hand, and press only when you arrive. For the loop, take a breath of tension off on beat 4 so your hand can move freely.