The phrase "after sifting through this" is correct and usable in written English.
You can use it when referring to the process of carefully examining or analyzing information or material before drawing a conclusion or making a decision.
Example: "After sifting through this report, I found several key insights that could improve our strategy."
Alternatives: "after reviewing this" or "after analyzing this".
After sifting through this list of tiny herbs, you're probably hungry, starving, and don't have time for bullshit.
This music is so foreign to our pampered baby ears that it may as well come from Mars, but after sifting through this psychic wreckage of a genre, here are the three bands that made us despair the hardest.
Below you will see our collection of fantasy images (that we created after sifting through said 14,000 snaps) that will (hopefully) prove, that despite all our differences, living thousands of miles apart, places around the world are actually very similar, if you really take the time to look.
But after sifting through the data produced by this investigation, Mr. White disagreed that problems are rare.
After sifting through the scientific, social and ethical conundrums raised by this question, an eight-member working group concluded that it would be ethically justifiable to conduct a study, which would provide crucial information, such as whether the vaccine is safe and how many doses would be needed.
After sifting through the bag's contents, I began to feel ill.
But, after sifting through the crowdsourced sound files gathered across Berlin, the researchers at the Natural History Museum have now identified 2,300.
Researchers noted that trend after sifting through the health records of 185,000 people ages 65 or older during a one-year period.
"The position that Jesus remained celibate on religious grounds," he concluded after sifting through the evidence, is "the more probable hypothesis".
After sifting through the data, Ms. Blau and Mr. Kahn concluded that pure discrimination may account for 38percentt of the gender pay gap.
After sifting through the debris, they found a bloodied passport and other items that led them to believe Mr. Ayro was injured in the strike and probably died.
