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In this work we calculate the partition functions of $\mathcal{N}=1$ type 0Aand 0B JT supergravity (SJT) on 2D surfaces of arbitrary genus with multiplefinite cut-off boundaries, based on the $T\bar{T}$ deformed super-Schwarziantheories. In terms of SJT/matrix model duality, we compute the correspondingcorrelation functions in the $T\bar{T}$ deformed matrix model side by usingtopological recursion relations as well as the transformation properties oftopological recursion relations under $T\bar{T}$ deformation. We check that thepartition functions finite cut-off 0A and 0B SJT on generic 2D surfaces matchthe associated correlation functions in $T\bar{T}$ deformed matrix modelsrespectively.

Note on $T\bar{T}$ deformed matrix models and JT supergravity duals