I'd like more recognition for investment in the private sector.
Literal
Private enterprises [toward-に対する] investment [object-を] more recognize [want-someone-to-てほしい].
~てほしい ('want [someone] to X') is the third-person desire construction — distinct from ~たい which is first-person desire. The agent (who is supposed to do the recognizing) is unstated because the speaker is addressing a policy or institutional audience implicitly.