Stuttgart went ahead after 15 minutes when Dortmund defender Felipe Santana put through his own goal before LucasBarrios levelled 10 minutes into the second half.
Paraguay striker LucasBarrios scored a hat-trick with German teenager Mario Goetze and Croatia midfielder Ivan Perisic adding the other two goals as Dortmund chase down more league records.
Italy's World Cup-winning coach Marcello Lippi is now in charge at Guangzhou Evergrande, an ambitious club who in the last year have signed Argentine Dario Conca and Paraguay's LucasBarrios.
Paraguay's LucasBarrios will become the latest recruit when he signs for Guangzhou from German champions Borussia Dortmund on June 1, for a fee which eclipses the one paid for Conca.
Italy's 2006 World Cup-winning coach Marcello Lippi was recently appointed at Guangzhou Evergrande, an ambitious club which has splashed out on South American players Dario Conca of Argentina and Paraguay's LucasBarrios.