Provident Fund as an Investment
Provident Fund is a good investment that will provide interest along with income tax exemptions to a certain extent. Still, if you do not want to be covered, you can declare that you do not have a UAN. If you do not generate a UAN for your previous PF account, you will not be able to withdraw the amount in that account. At the same time, if you declare that you had a PF account but do not have a UAN, the present company will cover you under PF, and a new UAN will be generated. You can transfer the old PF to this account by using the online facility available. However, in the future, you should continue to contribute to PF.
Potential Changes in EPF & MP Act
In the future, if the EPF & MP Act is amended and the threshold limit is increased from Rs 15,000 to Rs 30,000 (there is a proposal to make it Rs 25,000 at least), then you would become covered. In that situation, if you declare that you had a PF account with your earlier establishment, it will be considered a concealment. Having PF is always beneficial, both in terms of investment and tax savings, as well as for other benefits like pension and insurance (Employee Deposit Linked Insurance) associated with it. However, it is your choice.