。
He always speaks in an unnecessarily grandiose way.
Literal
He [topic-は] always pompous way-of-speaking [object-を] does.
物々しい (ものものしい, 'pompous / grandiose / imposing') is an い-adjective describing speech or behavior that's overly heavy, formal, or dramatic for the situation. 話し方 (はなしかた, 'way of speaking') uses the ~方 suffix. をします ('does') is the polite form. いつも ('always') marks it as a habitual trait. The sentence is a character observation — describing someone who overdoes the formality.