thank you for your counterexample. In fact, I want to the uniform $L^p(p>1)$ bound of the rate for 1-parameter group generated by all holo vector fields, so $f_{t,s}$ is generated by $V_s$. Now, it seems wrong! Thank you so much!

@JasonStarr Would you like to provide me some reference where I can find the description of divisors with respect to the faces of one-point blow-up in $\mathbb{P}^2$. Thank you so much!

@JasonStarr Thanks for your response. So $-E$ is also torus invariant.

@Kovacs, what I care now is an example of Fano (toric ) manifold, such that the simple normal crossing effective decomposition exist. I do not want it holds for all Fano manifold and all decompositions since the decomposition is not unique.

@Kovacs, yes the divisor cared is the effective ones. And so if it does not hold for all Fano manifolds. Would you like to give me some examples such that the decomposition of effective nef divisors holds. The only example to me is $\mathbb{P}^n$, but it is too trivial, so would you like to provide me some other examples, in particular the toric Fano manifold. Thank you again!

Kovacs, thanks for your answer. But I am still confusing. The coefficient of $E$ in the anti-canonical divisor of $M$(in your answer) is minus, i.e. $-K_M= -K_{\mathbb{P}^n}- a E$ where $a>0$ so it is still nef. Is there something wrong in my statement? And if, please forgive me. Thank you again.

I add a comment. And can we get that $D_i$ are nef?

Or you can understand that $D_i$ is nef.

It means that the line bundle with respect to $D_i$ admits a Hermitian metric such that its curvature is semi-positive.