  This article motivated by the recent articles and results of two authors.
Recently, J. Sadeghi and H. Farahani presented a work [1], where they include
viscosity and analyze general model, by this way they extended models
considered by M. Khurshudyan [2] and [3]. In this article, We tempt to consider
varying Modified Chaplygin gas model in case of variable $G$ and $\Lambda$. It
is well known, that varying $G$ and $\Lambda$ gives rise to modified field
equations and modified conservation laws. We will consider two different toy
models. First model is a Universe with one component phenomenological gas of
our consideration, while for the second model we assume existence of a composed
fluid of gas and a matter with $P=\omega(t)\rho_{m}$. Sign changeable
interaction between fluids is accepted. We will analyze important cosmological
parameters like EoS parameter of a fluid, deceleration parameter $q$ of the
model.
