  Calculations are presented for creation of massive and massless scalar
particles coupled to Gauss-Bonnet type curvature in Friedmann cosmological
models. It has been shown that, for fields of mass~$m$, the effect of the
coupling parameter $\zeta$ with the Gauss-Bonnet invariant is insignificant if
$\zeta m^2 \ll 1 $. In all cases under consideration, the created particle
number is compatible by order of magnitude with the number of causally
disconnected space-time regions by the Compton time, corresponding $1/m$ or
$\sqrt{\zeta}$.
