Started in the 1960s by Mr. Moon, the matching practice and blessing ceremony has modified in recent years. Since Mr. Moon’s death in 2012, his wife, Hak Ja Han Moon, who currently leads the movement, oversees the annual mass blessing in Korea. For those who participate, the cost runs approximately $3,000 per couple and includes fees, travel and rings, as well as hair and makeup for the bride.

Some of the bigger changes came in the years before Mr. Moon’s death: The Moons passed the responsibility for matching to members themselves, particularly to first-generation parents and senior members of the church, a shift that started in the early 2000s, said Crescentia DeGoede, the director of the Blessing and Family Ministry for the movement’s United States chapter.

Because there were no specific guidelines in the United States, Ms. DeGoede, who is based in New York, said, “In the beginning, people really just tried things out.” Families thought about who they knew or would reach out to members of the community, she said. Around 2010, she said, it became apparent that some kind of guideline or support system was needed.

“How did it happen? Where did they go through? Where did they meet? What was the process that you went through?” said Matthew Learey, Denthew Learey’s father, reflecting on questions he asked other parents regarding the matching process. Though the responsibility to match his children didn’t come as a total shock — he remembers Mr. Moon talking about the transition — it was still a somewhat nerve-racking thought to reckon with as his son neared adulthood.