Twist-3 partonic distributions contain important information that
characterizes nucleon’s structure. In this work, we show our lattice
exploration of the twist-3 PDFs g_T(x)gT(x),
and h_L(x)hL(x).
We also present our preliminary results on the twist-3 GPD
\tilde{G}_2(x)G̃2(x).
We use the quasi-distribution approach to connect the lattice-extracted
matrix elements, renormalized in the RI/MOM scheme, to light-cone
distributions, applying the matching procedure that we developed in
parallel. We also calculate the twist-2 counterparts of
g_T(x)gT(x)
and h_L(x)hL(x),
i.e. g_1(x)g1(x),
and h_1(x)h1(x),
and test the Wandzura-Wilczek approximation.