Add flour the bowl of a stand mixer and make a well in the center.
Add the eggs, pumpkin, olive oil, fresh sage, and salt to to center of the flour.
With the flat beater attached, mix everything together for 3-4 minutes. If the dough is too dry, add the water, 1 tbsp. at a time. You want the dough to be a little sticky. If it's too wet, add a little more flour.
Then, switch to the dough hook and continue to work the dough for another 3-4 minutes.
Turn dough onto a floured surface and knead by hand until it looks smooth. Form it into a ball and flatten with your hand. Cover and rest 20-30 minutes.
After the dough has rested, cut it into 4 equal pieces.
Work with one piece of dough at a time, while keeping the rest covered, and roll it through a pasta machine a couple times using setting "1."
Lower the dial and continue to roll the pasta dough until the desired thickness is reached.
Then, attach the cutting roller and use the fettucine roller to cut each piece of pasta dough.
Lay the pasta out on wax paper or parchment paper and allow it to dry for about an hour.
After an hour, you can use the pasta immediately, or twirl it into bundles to freeze.