Retirement tax questions

You would not use the foreign paid tax credit in your case. Pension from India is taxable either in the US or in India, but not in both countries. This is based on the tax treaty between the US and India. You would have to claim the tax treaty exemption in the country where the pension would not be taxable.

https://www.irs.gov/pub/irs-trty/india.pdf

You would report the pension on form 4852, substitute for form 1099R.
If your pension is taxable in the US, you enter the full amount as taxable amount.
If your pension should be taxable only in India, you would then enter Zero as the taxable amount ad write "Us India tax treaty Article XX" as explanation.