  This paper aims to study the $\mathbb{F}_q-$linear relations between
interpolated $v-$adic multiple zeta values over function fields. We proved a
universal family of linear relations of interpolated $v-$adic MZVs, which is
conjectured to generate all linear relations over $\mathbb{F}_q$. At the end of
the paper, we also show that these relations can be generalized to all multiple
harmonic type sums.
