push for (something)
To advocate or lobby for something to happen or become established, especially in a persistent or demanding manner. The governor has been pushing for a new tax-relief scheme for middle- and lower-class workers. I've been pushing for a communal tea and coffee station since I first started working here.
push for something
to request or demand something. The citizens are pushing for an investigation of the police department. My secretary is pushing for a raise.
push for
v. To request or demand something insistently: Taxpayers are pushing for tax reforms.