It appears, the cash payment made to you is shown in separate account and may not be shown in books as salary expense. The payment you receive is consolidated salary. There is no prescribed format for consolidated salary as it has only one head i.e., salary payable indicating the net payable. As you are working in a small establishment, there is no practice of issuing salary slip.
I am not sure what would satisfy the Immigration Authority, would depend on the country in question, but an 'Employment Certificate' shall in general suffice to prove the bonafides of employment.