I'd like to ask Mr. Hayashi to make an effort to practice what he preaches.

Literal

Hayashi-san [to-には], speech-and-action [object-を] matching [object-を] effort [object-を] want-to-seek [quotative-と] think.

言行を一致させる ('to make one's words and actions match') is a formal set phrase for integrity. ~たいと思います is the polite hedged desire ('I would like to'). には marks Hayashi as the target of the request. The sentence is diplomatically worded criticism — formally polite while essentially calling someone a hypocrite. 求める ('to seek, to demand') in ~を求めたい adds a formal tone.