  The Directed Oberwolfach Problem can be considered as the directed version of
the well-known Oberwolfach Problem, first mentioned by Ringel at a conference
in Oberwolfach, Germany in 1967. In this paper, we describe some new partial
results on the Directed Oberwolfach Problem with variable cycle lengths. In
particular, we show that the complete symmetric digraph $K_n^{*}$ admits a $(
\vec{C}_2, ..., \vec{C}_2, \vec{C}_3) $-factorization for all $ n\equiv 1, 3,$
or $ 7\pmod{8}$. We also show that $K_n^{*}$ admits a $(\vec{C}_2,
\vec{C}_{n-2})$-factorization for any integer $n \geq 5$.
