Why is swastika in buddhism is in this 卍 format and not in this 卐 format? What is the difference between the two? What is the meaning of each sign?
Buddhism explains the dependent origination of suffering, which is the 'wrong path' (SN 12.3). 

Conversely, 'dependent cessation' is called the 'right path' (SN 12.3). 

Dependent origination is often pictorially depicted as spinning clockwise, as follows:





The clockwise direction is the direction of 'origination' or 'creation'. 

Theistic religions, such as Judaism, Islam &amp; Hinduism worship creation, therefore it is expected they would worship a clockwise swastika. 

Where as Buddhism honors cessation rather than creation, i.e., turning back creation.