How do gravitons transmit gravity to occulted bodies?

If matter feels gravitation by way of absorbing gravitons, how is it that gravity passes through matter unfettered?

For instance during a solar eclipse, should not the Moon block at least some of the gravitational force acting on Earth due to the Sun?

There is a quite spread out idea that Quantum Field Theory (QFT) explains forces as the exchange of mediating particles, the virtual particles. This is not quite true, virtual particles are not particles. This can be seen from a relativistic, quantum and even semi-classical point of view - they do not satisfy the relativistic relation between energy and momentum, $E^2=|\vec p|^2+m^2$, do not have creation and annihilation operators and they are not solutions to a wave equation. QFT explains particles interaction as mediated by fields and that includes some perturbations of that fields which people prefer to call virtual particles. Of course, a quantized gravity field would have gravitons as their associated particles, but those would not be the mediators of gravitational interaction.