What type of flour are you using? If you are using semolina, as expected, you should try to sift it and remove the coarse parts. Also, you can mix 75% semolina and 25% of a softer wheat flour. The egg makes the dough much (much) harder to extrude, you can try substituting water for egg:
- for 453 grams of semolina, 162 grams of water
I make my fresh pasta with the wonderful mx700 Simac (which you can find online for about 40/60$) and I can assure you that the pressure applied by the machine is tremendous and when I don't get the mix carefully balanced the motor clearly screams and the machine cracks like it's going to open in half.
In Venice, Italy we have a traditional manual pasta machine called Bigolaro that resembles a bit the one you posted, but the handle is much larger, hence easier to turn: you should use a metal pipe (on each side) to make your work easier!