Duplicate ANY transaction from Bitcoin to Bitcoin Cash.. is it possible? After the hard fork happened on 1 August and Bitcoin Cash was created the blockchain diverged in two. Any transaction before 1 August made on the main blockchain now is available on Bitcoin Cash chain.

So my question is:

What will happen if I random pick any transaction from the bitcoin blockchain after 1 August from random block and push it to Bitcoin Cash nodes? Will this transaction get approved?
No, transaction will not be approved. There are differences in transaction format. Transactions are not valid between 2 forks.