  In this paper a possibility to accelerated the expansion of the large scale
universe due to interacting varying Chaplygin gas of a specific form and a
tachyonic matter is considered. A specific form of the potential and
appropriate values of the parameters allow to obtain early tachyonic dark
matter with $\omega_{T} \approx 0$ in recent Universe as well. On the other
hand, related to the structure of the field equations describing the dynamics
of the background we assumed the form of non-gravitational interaction to be
given in advance. A sing changeable interaction between dark energy and dark
matter is also included due to a huge interest towards it in recent literature.
Possible future finite time singularities for cansidered models have been
determined to finalize the paper. The study shows that in case of
non-interacting model, the fate of the Universe will be either Type II~(The
Sudden Singularity), or Type IV~(Generalized Sudden Singularity) singularity.
On the other hand, the consideration of $Q=3 b H \rho_{de}$ non-gravitational
interaction in addition to Type II and Type IV singularities will induce also
Type V~($\omega$-singularity) singularity. Whilst in the model with $Q=3 b q H
\rho_{de}$ non-gravitational interaction only Type IV singularity will be
observed. Moreover, $2$ forms of the scale factor has been considered
separately allowing analytically obtain the behavior of the cosmological
parameters without specifying an explicit form of the potential for tachyonic
matter.
