For those who concentrate on the breath, do you get any benefit from concentrating a bit "harder" (without overdoing it)?

I usually sort of just "sit with the breath" and let thoughts come and go. It's pleasant, easy and I feel okay afterwards - but lately I feel a bit intention-less and I find that my meditations don't produce any real feeling afterwards. I was curious if I set more of an intention and focused a bit harder without overdoing it - that it would get me more benefit afterwards?

Does anybody have any thoughts on this?