Here is the idea applied to the Aeolian Scale. In the key of G our Aeolian scale is E Aeolian. This starts at the 12 fret on the low E string with the note A.
Now, in terms of our sequence of fingerings, Aeolian starts on the 1st of our fingering no. 3's. So we get two fingering no. 3's, then three fingering no. 1's followed by one fingering no. 2 to cover all six strings.
Again, if we know where in our sequence the scale starts, the rest of the pattern automatically falls into place. Refer to the diagram below if you get stuck.