Australian Morris produced the best score of final two to claim his maiden World Cup win with his effort of 112.67 better than those of Dylan Ferguson, Maxim Gustik and Thomas Lambert.
American Ferguson placed second with 105.31 while Gustik and Lambert failed to break the 100-point barrier with the former taking third with an effort of 94.77 to the latter’s 89.59.
Morris' win was only his second career podium finish having finished third in Lake Placid in January and saw him finish second in the overall men's aerials World Cup standings.
Jia claimed the overall title despite not competing in Bukovel as compatriot Qi Guangpu didn't take part either with the latter in truth the champion elect after the last round in Sochi.
He was 93 points ahead of Qi with only 100 on offer at the final round with Morris taking his tally for the season to 332 to split the two Chinese skiers and finish second overall.
Xu Mengtao was also absent from the women's event but had the overall World Cup event comfortably already wrapped up with Cook, like Morris, also winning to move into second.
She denied the home crowd a victory in a tight final two, beating Nadiya Didenko of Ukraine by just 0.73points after posting a score of 83.89 to her 83.16.
Tanja Schaerer grabbed third ahead of Kiley McKinnon with Mengtao finishing on 560 points and Cook ending the World Cup season with 303.