  We show that the additive Borcherds lift of vector-valued non-holomorphic
Eisenstein series are orthogonal non-holomorphic Eisenstein series for $O(2,
l)$. Using this we give another proof that they have a meromorphic
continuation, calculate their Fourier expansion and show that they have a
functional equation analogous to the classical case. Moreover, we will
investigate the image of Borcherds lift and give a sufficient condition for
surjectivity.
