The phrase "in a timely and efficient manner" means to do something in an appropriate amount of time, without any delays or wasted effort. Full definition
Since we have the space and appropriate equipment, tasks can be completed in a more timely and efficient manner. (seaviewsecretarialsolutions.com)
Parts ordered in a very timely and efficient manner! (newcars.com)
Additionally, he has never failed to get back to us in a very timely and efficient manner, even spending quite a long time on the phone with us. (firstclassandbeyond.com)