  In this study, we present a novel approach to mimetic gravity incorporating a
non-zero nonmetricity tensor with vanishing torsion and curvature, establishing
a generalized mimetic-$f(Q)$ gravity framework. Using the Lagrange multiplier
method, we have obtained and discussed characteristics of the theory's field
equations. In order to study cosmic evolution given by the hybrid scale factor,
we implemented the reconstruction method in two different ways. In the first
case, we have obtained corresponding Lagrange multiplier $\eta$ and potential
$U$ for the specific $f(Q)=f(Q)=Q-6\lambda M^2\big(\frac{Q}{6M^2}\big)^\alpha$
function, while in the second scenario we have recovered $f(Q)$ functional and
mimetic potential for the given Lagrange multiplier $\eta_0+\gamma H^2$.
Subsequently, we explore the fundamental properties of the $f(Q)=Q-6\lambda
M^2\big(\frac{Q}{6M^2}\big)^\alpha$ model and analyse the energy conditions to
establish its validity. Our findings indicate that the framework introduced
herein allows for the derivation of a wide range of viable cosmological models
that satisfy energy constraints that are necessary in description of the
accelerated expansion.
