As far as I understand magnetic field applies force on charges or charged/ magnetic materials via the electromagnetic waves(or photons) emitted by moving electrons. And electric field also uses electromagnetic waves for it. My question is if these waves can be only produced from the moving particles, how can stationary electrons apply force on other charges with their electric field? For example how can electrons move towards to positive charges in a wire under a certain voltage? What created the force on them, while all the charges were stationary?
And electric field also uses electromagnetic waves for it.
An electromagnetic wave is an oscillation of the electromagnetic field. Or in simpler terms it is an oscillation of the electric and magnetic fields.
But that doesn't mean that there is no electric field when there is no wave.
It's not that the field is something that appears because there is a wave, rather the wave is something that happens in the field.
Even when there is no wave, if there is a non-zero field, the Coulomb force will affect charged particles and magnetic forces will affect moving charged particles. Combined, these are called the Lorentz force.
What created the force on them, while all the charges were stationary?
A stationary charge produces a (static, meaning unchanging) electric field, according to Coulomb's law.
The static electric field produces a force on all charged particles that encounter it.