Importance of Providing Relevant Information
I hope you would agree with me that whenever we raise a question, it is very important to provide the relevant particulars so that the answer can be specific. Particularly when the questioner is a person like an HR & Admin professional, it is needless to mention that the question should contain detailed information connected with the subject matter to enhance the understanding of the respondents.
The private limited company you are working for may be anything - for example, a factory, a shop, a motor transport undertaking, or even a plantation establishment. However, it is not clear in your post what your establishment actually is. As far as I am aware, the only central labor law prescribing the issuance of appointment orders to employees is the Sales Promotion Employees (Conditions of Service) Act, 1976. Thus, it compelled me to make an educated guess that your establishment must be under some State Shops and Establishments Act. This, together with your address, triggered my memory of coming across such a provision in the Andhra Pradesh Shops and Establishments Act, 1988, which helped me locate the provision for the issuance of appointment orders to employees under copy to the area inspector, as per section 68(4) r.w rule 30 of 1990.
Advice on Appointment Orders
Regarding your question, I would request you to refer to rule 31 of the APS&E Rules, 1990, which addresses the admissibility of forms other than those prescribed in the Rules. If you are very particular about having a different format of appointment orders, it is better to apply to the area Deputy Commissioner of Labor for approval.