BabaYaga is a Monte Carlo event generator for e+e- --> e+e-, μ+μ-, γγ and π+π- processes at flavour factories, i.e. for energies below 10-12 GeV. It includes the relevant QED radiative corrections in the QED Parton Shower approach. It has been developed at the INFN, Sezione di Pavia, and Dipartimento di Fisica Nucleare e Teorica of the Università degli Studi di Pavia (Italy).