Turbo tax is saying I owe NYS taxes and as a retiree from NYS and collect a pension I should not owe taxes. Why?

To clarify, is your pension from New York a STATE (public)  pension?

In NYS, social security is non-taxable.  State employee pensions are non-taxable, and other retirement income has a $20,000 exemption.  If you draw more from your IRA or retirement plan, it will be taxed.