Heat the oven to 150 °C/170 °C/300 °F and set out a large baking tray with baking paper ready. The pasta bakes quickly, so having the tray prepared makes it easier to spread the sticky dough before it starts to set.
Add the eggs, cream cheese, salt flakes, apple cider vinegar, and psyllium husk powder to a food processor, then pulse until smooth and thick. The mixture should look like a sticky paste rather than traditional pasta dough, and resting it for 5 minutes helps the psyllium fully absorb moisture.
Divide the mixture in half and spread one portion over a large sheet of baking paper with a silicone spatula. It will feel pasty and tacky, which is exactly right.
Place a second sheet of baking paper on top and roll the dough into a rectangle about 20 cm x 40 cm and 1 to 2 mm thick, then transfer it to the tray with the top paper still in place. The thinner you roll it, the more delicate and pasta-like the final texture will be.
Repeat with the remaining dough so you have two thin sheets ready to bake. Perfect edges do not matter here, but an even thickness does.
Bake for 6 to 8 minutes, then remove the top sheet of baking paper and let the pasta cool on the tray for 1 to 2 minutes. The sheet is ready when it feels set and dry to the touch but still bends without cracking.
Roll each sheet up from the short end and slice into ribbons with a sharp knife, or use a pasta cutter with a fettuccine setting. If the sheet is still too hot, it tends to squash rather than roll cleanly.
Warm the cut pasta by tossing it with hot sauce during the last couple of minutes of cooking. Do not boil it in water, or the texture can soften too much and lose its shape.