  We consider integrable models solved by the nested algebraic Bethe ansatz and
associated with $\mathfrak{gl}(2|1)$ or $\mathfrak{gl}(3)$ algebra symmetry.
The analogue of sum formulae, previously formulated for scalar products, is
established for the form factors and correlation functions. These formulae are
direct generalisation of the some earlier results derived for models with
$\mathfrak{gl}(2)$ symmetric $R$-matrix. It is also shown that in the case of
algebra symmetry $\mathfrak{gl}(2|1)$ related models such formula allows to
establish a multiple integral representation for correlation functions and form
factors.
