  We consider relations between Gauss coordinates of $T$-operators for the
Yangian doubles of the classical types corresponding to the algebras
$\mathfrak{g}$ of $A$, $B$, $C$ and $D$ series and the current generators of
these algebras. These relations are important for the applications in the
quantum integrable models related to $\mathfrak{g}$-invariant $R$-matrices and
construction of the Bethe vectors in these models.
