Craft a composition that integrates the assigned alphabet-related musical pattern and the provided melodic theme.
X:1
L:1/8
M:6/8
K:Ddor
['D3 A3 BAG', 'c2 A']  
X:1
L:1/8
M:6/8
K:Ddor
 D3 A3 | BAG ABA | D3 A3 | BAG EGE | D3 A3 | BAG ABc | d2 B cBA |1 BAG EGE :|2 BAG E2 D |: 
 d2 B c2 A | BAG ABc | d2 B c2 A | BAG E2 D | d2 B c2 A | BAG ABc | ded c2 A |1 BAG E2 D :|2 
 BAG EGE ||  