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Transiting circumbinary planets are more easily detected around short-periodthan long-period binaries, but none have yet been observed by {\it Kepler}orbiting binaries with periods shorter than seven days. In triple systems,secular Kozai-Lidov cycles and tidal friction (KLCTF) have been shown to reducethe inner orbital period from $\sim 10^4$ to a few days. Indeed, the majorityof short-period binaries are observed to possess a third stellar companion.Using secular evolution analysis and population synthesis, we show that KLCTFmakes it unlikely for circumbinary transiting planets to exist aroundshort-period binaries. We find the following outcomes. (1) Sufficiently massiveplanets in tight and/or coplanar orbits around the inner binary can quench theKL evolution because they induce precession in the inner binary. The KLCTFprocess does not take place, preventing the formation of a short-period binary.(2) Secular evolution is not quenched and it drives the planetary orbit into ahigh eccentricity, giving rise to an unstable configuration, in which theplanet is most likely ejected from the system. (3) Secular evolution is notquenched but the planet survives the KLCTF evolution. Its orbit is likely to bemuch wider than the currently observed inner binary orbit, and is likely to beeccentric and inclined with respect to the inner binary. These outcomes lead totwo main conclusions: (1) it is unlikely to find a massive planet on a tightand coplanar orbit around a short-period binary, and (2) the properties ofcircumbinary planets in short-period binaries are constrained by secularevolution.

A triple origin for the lack of tight coplanar circumbinary planets around short-period binaries