(impressive imagery and special effects no doubt)

Most sci-fi  movies have problems when it comes to hard science but often not noticed.

A good example is the Death Star in Star War. Even if it has the power output of the sun, it can't blow up a planet in a split second as in the movie; but one needs 1st yr college level physics and astronomical data to understand why.

But the problem with 'Wondering Earth' is too obvious

The plot in Wondering Earth involves installing 1000s of huge rocket engines to push the Earth into another star system and the journey is said to take 2000 yrs at 0.5%(?) of speed of light.

That's taking the earth as  a huge rocket. Now unless if the tech involves complete annihilation of mass to power 'photon rocket engine'(which is still science fiction more than anything else), it needs to eject huge amount of mass into outer space over 2000 yrs;that's exactly how rockets work:exchange of momentum. Even if one can ignore the energy source and the mass ejected are magma from deep inside the earth, it'll still need to empty a significant (>50% I guess) amount of earth mass into outer space and the Earth crust will certainly collapse.

Earth's mass=5.9 x 10^24 kg--For comparision, china mines something like 3 billion tons(or 3x10^12 kg)of coal/yr

A better plot would be mining the astroids bell to make gigantic space arks to move to another star system