Andy Najar wasted little time in scoring a second-minute opener past Australia goalkeeper Ryan before Aleksandar Mitrovic doubled the lead 10 minutes before the break.
Lior Refaelov pulled a goal back in the 68th minute but Dennis Praet had the final word for Anderlecht at the death.
Standard Liege is seven points off the pace with three matches left, but enjoyed a 4-0 rout of KV Kortrijk.
Geoffrey Mujangi Bia got things started with a 15th-minute penalty and would add his second of the day late on, after further strikes from Adrien Trebel and Igor de Camargo.
