  In the present paper we describe the procedure of the Q-operators
construction for the q-deformed model, described by the Lax operator, which is
important to formulate the Bethe ansatz for the Sin-Gordon model. This Lax
operator can also be considered as some massless limit of the Lax operator of
SG model. We constructed two R-operators which are the universal intertwiners
for the Lax operators. The traces of its monodromies over the auxiliary space
are Baxter operators i.e. the operator solutions of T-Q equation. We also found
the intertwining relations which imply the mutual commutativity of the
corresponding Q-operators.
