  We are concerned with large-time behaviors of solutions for
Vlasov--Navier--Stokes equations in two dimensions and Vlasov-Stokes system in
three dimensions including the effect of velocity alignment/misalignment. We
first revisit the large-time behavior estimate for our main system and refine
assumptions on the dimensions and a communication weight function. In
particular, this allows us to take into account the effect of the misalignment
interactions between particles. We then use a sharp heat kernel estimate to
obtain the exponential time decay of fluid velocity to its average in
$L^\infty$-norm. For the kinetic part, by employing a certain type of Sobolev
norm weighted by modulations of averaged particle velocity, we prove the
exponential time decay of the particle distribution, provided that local
particle distribution function is uniformly bounded. Moreover, we show that the
support of particle distribution function in velocity shrinks to a point, which
is the mean of averaged initial particle and fluid velocities, exponentially
fast as time goes to infinity. This also provides that for any $p \in
[1,\infty]$, the $p$-Wasserstein distance between the particle distribution
function and the tensor product of the local particle distributions and Dirac
measure at that point in velocity converges exponentially fast to zero as time
goes to infinity.
