Yeo's complementary cycle-factor conjecture for regular multipartite tournaments

Let $D$ be a regular $c$-partite tournament, with $c\geq 5$. A $(p,|V(D)|-p)$-cycle-factor is a cycle-factor consisting of cycles of lengths $p$ and $|V(D)|-p$. Yeo's conjecture. For every

$$p\in\{3,\dots,|V(D)|-3\},$$

$D$ contains a $(p,|V(D)|-p)$-cycle-factor. The source recalls that Yeo proved every vertex lies on a cycle of every length from $3$ to $|V(D)|$ when $c\geq5$, but does not state a resolution of this stronger complementary cycle-factor conjecture.