2-round generalized Feistel network
I will give the 1 round answer which will help complete the question.

Let $X_{1,i},i=0,\ldots,3$ be the 32-bit outputs of the first round, before the swap, numbered left to right. Then,

$$P_2=X_{1,2}, \quad P_0=X_{1,0}$$
and
$$P_1=WK_0\oplus F_0(RK_0,X_{1,0})\quad
P_3=WK_0\oplus F_0(RK_1,X_{1,2}),
$$
The equations for the $P_{i}$ are as above.