The relation between $\Sh{\ET/V}$ and $\Sh{M}/\Yo{V}$ is the same as the one between the little topos and the big topos of a topological space (Artin et al., 1972, sec. IV.4.10). There is also in SGA4 an exercise whose content is more or less what we have just said. (Puzzle: find a point in common between La Samaritaine and SGA 4.)
La Samaritaine is a Parisian department store, at which “you can find anything”. Thanks to François Loeser for explaining the reference.
Bibliography
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Artin, M., Grothendieck, A., & Verdier, J.-L. (1972). Théorie des topos et cohomologie étale des schémas (Vols. 269, 270, 305). Springer-Verlag.Details