You are correct CT will not be taxing your pension income. However, it may still be part of the CT tax calculations depending on your income levels.
According to CT law here for reference, if your return does not exceed the income thresholds ($75,000 for single, married filing separate or head of household filers or 100,000 for joint filers, then pension income is 100% excluded and not counted in tax calculations. If a return shows income that exceeds the income thresholds then 100% is taxable/countable.
The calculations for CT nonresidents is basically, the ratio of CT source income / CT adjusted gross income multiplied by the CT tax on all income as a resident to arrive at the CT tax on CT income for nonresidents.
If the return meets the income eligibility then pension income is not counted as CT source income and it is excluded from all source income. You can see that subtraction in TurboTax online versions in the CT Tax Summary, Adjustments to Federal Gross Income line. Use these steps below to see the CT Summary page. In desktop versions you can use the forms mode to see the CT-1040NR calculations.
However, if your income exceeds the threshold then your nonresident pension would still be in the total CT adjusted income, but would not be part of CT source income in the ratio calculation.
Here is the CT reference.
1. Select "Tax Tools" in the left hand menu
2. Select "Tools"
3. Select "View Tax Summary"
4. Select "Preview My 1040" in the left hand menu
5. Select "CT Tax Summary"
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