  In this study, the Universe's rip cosmology theories have been provided for
the $f(Q,C)$ gravity theory, where $Q$ and $C$ stand for the non-metricity
scalar and boundary term. We assumed $f(Q,C)=\alpha Q^{n}+\beta C$ and analyzed
the nature of the physical parameters for the Little Rip, Big Rip and Pseudo
Rip models. In the LR and PR models, the EoS parameter exhibits phantom
characteristics but remains closely aligned with the $\Lambda$CDM line. After
investigating the energy conditions, we recognised that our model violates the
strong energy constraint. Avoiding singularity situations has been noted in all
of these accelerated models. The characteristics of the jerk and snap
parameters have been investigated. Our model provides an effective description
of the Universe's evolutionary history and fits well with contemporary cosmic
data.
