On the continuous cohomology of diffeomorphism groups

Suppose that $M$ is a connected orientable $n$-dimensional manifold and $m>2n$. If $H^i(M,\mathbb{R})=0$ for $i>0$, it is proved that for each $m$ there is a monomorphism $H^m(W_n,\text{on}O(n))\to H_{\text{on}cont}^m(\text{on}DiffM,\mathbb{R})$. If $M$ is closed and oriented, it is proved that for each $m$ there is a monomorphism $H^m(W_n,\text{on}O(n))\to H_{\text{on}cont}^{m-n}(\text{on}{Diff}_{+}M,\mathbb{R})$, where $\text{on}{Diff}_{+}M$ is a group of preserving orientation diffeomorphisms of $M$.