The other answer is correct, it’s not really accurate to say that gravity is made of waves.
In physics, a field is a physical quantity that has a value for each point in space and time The most accurate model for the gravitational field is general relativity, however for many cases it’s sufficient to just use Newtonian Dynamics. In GR, changes to the gravitational field propagate at the speed of light in a vacuum, c. It’s possible to create gravitational waves by rapidly accelerating a massive object, which occurs in inspiralling black holes or neutron stars. But the gravitational force pulling the pair of black holes together isn’t made of waves; the black holes are minimizing their gravitational potential energy as defined by the gravitational field.
force fields are made up of waves (as is everything?),
I wanted to address this since I think you might have a common misconception. Particles (photons, electrons, quarks, protons, neutrons, etc) are described in quantum mechanics using a wavefunction. But this doesn’t make these particles “waves”, they are still quantum mechanical particles. They simply don’t have a defined location (if using a spatial wavefunction, you can also work in an alternative basis like energy or momentum). If the particle interacts with something on the classical scale, it’s wavefunction will collapse to a single point where the location is defined.