Make the churro dough by combining the pumpkin puree, sugar, cinnamon, and salt in a bowl.
Add the flour and eggs and mix until a dough forms.
Heat oil in a large pot or dutch oven to 350°F.
Pipe the churro dough into the hot oil using a piping bag or ziploc bag with the corner snipped off, cutting into 4-inch lengths with scissors.
Fry the churros until golden brown on both sides, about 2-3 minutes per side.
Drain the churros on a paper towel-lined plate.
Toss the warm churros in cinnamon-sugar mixture to coat.
