  Linear extensions of posets are important objects in enumerative and
algebraic combinatorics that are difficult to count in general. Families of
posets like straight shapes and $d$-complete posets have hook-length product
formulas to count linear extensions, whereas families like skew shapes have
determinant or positive sum formulas like the Naruse hook length formula from
2014. In 2020, Garver et. al. gave determinant formulas to count linear
extensions of a family of posets called mobile posets that refine d-complete
posets and border strip skew shapes. We give a Naruse type hook length formula
to count linear extensions of such posets as well $q$-analogues of our formula
in both major and inversion index.
