State tax filing

Here are some instructions to Connecticut schedule CT K-1. It points out that you need to enter income, deductions and credits reported on that schedule on your Connecticut tax return and it mention on what line numbers those entries should appear. These entries will come from the federal K-1 form you enter. If there are discrepancies then you will have to visit those areas in your state return and make allocations as is appropriate. 

For instance, you may have business income on your federal return that does not all apply to Connecticut. You would use the information reported on the CT K-1 to determine what amount of income to allocate to Connecticut:

So, there is no way to enter the CT K-1 schedule into your Connecticut state program in TurboTax, you simply use it as a guide to insure that all income, deductions and credits reported on it are properly stated on your Connecticut return.