  Let G be a simple simply-connected group over an algebraically closed field
k, X be a smooth connected projective curve over k. In this paper we develop
the theory of geometric Eisenstein series on the moduli stack Bun_G of
G-torsors on X in the setting of the quantum geometric Langlands program (for
\'etale l-adic sheaves) in analogy with [3]. We calculate the intersection
cohomology sheaf on the version of Drinfeld compactification in our twisted
setting. In the case G=SL_2 we derive some results about the Fourier
coefficients of our Eisenstein series. In the case of G=SL_2 and X=P^1 we also
construct the corresponding theta-sheaves and prove their Hecke property.
