The phrase "expedite our efforts" is correct and usable in written English.
You can use it when referring to the need to move quickly in working towards or completing a project or goal. For example: "Let's expedite our efforts to get this report submitted by the end of the day."
The trioecious nature of papaya and genomic resources already developed for it expedited our sequencing efforts.
By adopting a less time-consuming proteomic workflow, we attempted to expedite our discovery phase and devote more effort to the downstream substrate validation and functional studies.
In our efforts to expedite the drug discovery pipeline for DMD, we therefore decided to examine Src inhibitors that were already FDA approved for use in humans, albeit for other indications, i.e. cancers.
Japan will also send disaster management experts to help expedite relief efforts and look at ways to reduce landslide risks, the Japanese embassy in Colombo said.
Cisco Systems said yesterday that it had acquired two privately held communications companies to expedite its efforts to deliver voice over data networks.
Prime Minister Nawaz Sharif, who is in New York, ordered officials to expedite relief efforts for victims of the country's deadliest earthquake since 2005, when about 70,000 people died in an earthquake that struck the northwestern mountains.
"The president understands that as the people of Afghanistan move toward elections, the enemies of Afghanistan will expedite their efforts to harm the election process and threaten the people's security and prosperity," the statement from President Karzai's office said.
Next-generation sequencing was regarded as too complex at the time and the company wanted to focus on a technique that would expedite research efforts as it was cozying up to the drug research market.
When faced with limited resources, combining fine-scale distribution modeling with a robust occupancy sampling design can expedite survey efforts, confidently designate species occupancy status, prioritise habitat for future surveys and/or restoration, and identify critical habitat features.
"This work should have started years ago, so it's not unreasonable for people to be nervous," said Bruce Wilcox, who Gov. Jerry Brown appointed in 2015 as assistant secretary for Salton Sea policy at the California Natural Resources Agency to expedite restoration efforts.
