  We analyze the long-time behavior of solutions to a
Navier-Stokes-Cahn--Hilliard-Oono system with chemotaxis effects and physically
relevant singular potential. This model also includes some significant
mechanisms such as active transport and chemotaxis effects. The system couples
the Navier-Stokes equations for the fluid velocity, a convective Cahn-Hilliard
equation for the phase-field variable and a diffusion equation for the nutrient
density. For the initial boundary value problem in a smooth bounded domain
$\Omega\subset \mathbb{R}^2$, we prove the the existence of the global
attractor in a suitable phase space. Furthermore, we obtain the existence of an
exponential attractor, and it can be implied that the global attractor is of
finite fractal dimension.
