  A vector leptoquark at the TeV scale, mostly coupled to the fermions of the
third generation, is the preferred option to explain the hints of lepton flavor
universality violation in the decays of B-mesons. It seems interesting to
assume that this leptoquark belongs to the same beyond the Standard Model
sector that solves the hierarchy problem, since the third generation of
fermions play the leading role in the instability of the Higgs potential. We
present a composite Grand Unified Theory with resonances at the TeV that
contains the required vector leptoquark and develops the Higgs as a pseudo
Nambu-Goldstone boson. We show that anarchic partial compositeness of the
Standard Model fermions can accommodate the couplings of Left-handed currents
required by the B-anomalies, predicting very small couplings to the
Right-handed currents without any additional hypothesis. By making use of an
effective theory description of the strong dynamics, in terms of weakly coupled
resonances, we are able to compute the corrections to B-physics, as well as the
one-loop potential for the pseudo Nambu-Goldstone bosons. The theory has a rich
phenomenology and a candidate for dark matter.
