The theory name for that turnaround is 3-4-#4-5 progression. Here is an explanation:
3 / 1 chord (1 chord w/3rd in the bass)
4 / 4 chord
#4 / #4 diminshed chord (# in this case means raised 4)
5 / 1 chord (1 chord w/5th in the bas)
5 / V7 chord
Here it is in Eb:
G / G-Bb-Eb (3)
Ab / Ab-C-Eb (4)
A / Gb-A-C-Eb (#4)
Bb / G-Bb-Eb (5)
Bb / Ab-Bb-D-Gb (5)
Here it is in Ab:
C / C-Eb-Ab (3)
Db / Db-F-Ab (4)
D / B-D-F-Ab (#4)
Eb / C-Eb-Ab (5)
Eb / Db-Eb-G-Cb (5)
Is that clear enough for ya Chynadolle?