In this paper we establish a Fubini theorem for generalized analytic Feynman integral and $L_1$ generalized analytic Fourier-Feynman transform for the functional of the form $$F(x)=f({langle}{alpha}_1,;x{ angle},;{cdots},;{langle}{{alpha}_m,;x{ angle}),$$ where {${alpha}_1$, ${cdots}$, ${alpha}_m$} is an orthonormal set of functions from $L_{a,b}^2[0,T]$. We then obtain several generalized analytic Feynman integration formulas involving generalized analytic Fourier-Feynman transforms.