One way to do this is to enter a separate (second) K-1 for the entity that sent you the K-1, with only the box 13 code W box amount for the second state. So, everything including one box 13 code W state goes on the first K-1, and only the second state box 13 code W goes on the second K-1.
Another way to enter the second state would be to use the path Federal>>Deductions & Credits>>Estimates and Other Taxes Paid>>Other Income Taxes>>Other Taxes Paid in 2019>>Withholding not already entered on a W-2 or 1099. Enter the amount for the second box 13 code W state here, and everything else except the second state box 13 code W on the K-1.
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