Australian Rohrer will replace Smith for the Antigua Hawksbills, Pakistani Shehzad steps in for Marsh with the Jamaica Tallawahs, and Jacobs from South Africa comes in for Finch with the Trinidad and Tobago Red Steel.
Kings XI Punjab beat Delhi Daredevils by 7 runs in Dharamsala.
The win keeps Bangalore in fourth position and Delhi remain in eighth spot as the IPL nears the end of the league stage.
The Australian from New South Wales hit nine boundaries and one six to propel his team to a competitive total.
IPL has always thrown up opportunities for 'Cricket Honeymoon', and one doesn't have to look beyond AB de Villiers and Michael Clarke for examples.
The IPL franchise has been hit with injuries to key players like Kevin Pietersen, Varun Aaron and of course, the troubled Kiwi batsman Jesse Ryder
Ben Rohrer, Nathan Coulter-Nile and Josh Hazlewood were chosen for the first time, while wicketkeeper Brad Haddin and paceman Clint McKay have previously played for Australia in the T20 format.