The Pauli exclusion principle is not really the origin of forces (although it is discussed used that way). It influences the strength of other forces because it influences what states of multi-particle systems are possible.
The pauli principle is usually said to be the idea that two fermions cannot be in the same state. As a rough example, imagine two charged particles. If they could be in the same state, then they could be more on-top of each other than otherwise, corresponding to a stronger coulomb interaction between the particles.
As a separate consequence, even for completely non-interacting particles, the exclusion principle changes the energy of the ground state of the system. Some multi-particle states that are accessible to bosons are inaccessible to fermions, alowing bosons to reach lower energies in general than fermions. This again isn't really a force (although you could probably pull something out that looked like one if you look at some limiting cases), it is a limitation on the available states of a multiparticle system.
It's probably not too surprising that if you explore the origin of the pauli-principle in quantum mechanics that the principle comes from general statements about restrictions on wavefunction overlap for bosons and fermions (multiparticle wavefunctions have to be symmetric vs. antisymmetric correspondingly). Restrictions on wavefunction overlap correspond to restrictions on how far interacting particles can be from another, which directly corresponds to how strongly they interact with each other (via the coulomb force, usually). So while the pauli-principle is not the origin of any unique forces, it influences the strength of existing forces between particles.