Place the flour in a large clean work surface. Make a well in the center, about 4-inch wide. Crack in whole eggs and egg yolks, squid ink, and salt. Use a fork to beat thoroughly and then gradually add in flour into the well using your hands and start kneading the dough by using the heel of your hand into the ball of dough, pushing forward and down. Rotate the ball 45 degrees and repeat. Continue until dough develops a smooth, elastic texture . It will be very sticky at first, but the more you knead, it will come together into a smooth ball. Adding a bit of flour if it's too sticky or a little bit of water if it's too dry. Wrap the dough up with plastic wrap and let it rest for 30 minutes
After 30 minutes, dust your work surface with some flour and, cut the dough into 4 sections. Working with one dough at a time and let the rest covered to prevent them from drying out.
Roll the dough out into an oblong shape as thin as you can. I don't have a pasta maker, so I cut the dough manually using a knife. I dust the dough with more flour and folded the dough three time and cut them into equal width. Unfold them and dust with a bit more flour
Preparing the sauce:
Place the tomato and garlic in a food processor and blitz into slurry. Preheat a large skillet and add in 3 Tbsp of olive oil and saute the shrimp until they turn opaque and dish them out and set aside. Add in the tomato paste and saute for about 1 minute. Pour in the tomato sauce. Bring to a boil and then add in wine, sugar and pinch of salt. Bring it back to a boil and let the alcohol cook off and have a taste. The sauce should be savory, garlicky with some hint of sweetness but not too sweet. Lower the heat to keep it warm while you cook the pasta
Bring a large pot of salted water to a boil. Add in the fresh squid ink pasta and stir gently to prevent them from sticking together. You want to cook it to al dente, about 1 1/2 minute or so. Reserve about 1/2 cup of the cooking water and drain the rest. Don't rinse the pasta with water, so the sauce will cling better
When ready to serve:
Add in the shrimp into the sauce you prepared earlier and give it a light stir and add in the cooked squid ink pasta. You may add more of the reserved pasta water if needed. The sauce should be somewhat a bit loose but not runny. Turn off the heat and transfer to a large serving platter and serve family style