is this sentence correct or not
We have never been asked any of our customer to
deposit Cash into personnel account of neither collection agency staff
nor our own staffs
You don't need "or not" in your question.
For your sentence, try:
We have never been asked by any of our customers to deposit cash into a personnel account ....
Perhaps you mean this:
We have never asked our customers to deposit money into the personal accounts of our staff or of any collection agency staff.
It's a good idea to limit how much you put into a sentence. It is a bad idea to put too much into a sentence and confuse people.
If you want to make some kind of policy statement, tell people what you will do or won't do, not what you have never done.