The phrase "to grease the wheels" means to make something go smoothly or to make a process easier by removing obstacles or providing help. Full definition
Increase output, make operations efficient, and grease the wheels of the company in our easy online courses. (myimprov.com)
They accused the ex-top-cop during the trial of «disavowing» his 2006 guilty plea to state ethics violations of accepting $ 255,000 in free renovations for his Bronx apartment in exchange for greasing the wheels for his mobbed - up pals. (nypost.com)
At the heart of it, that's what greases the wheels of work. (sciencemag.org)