While he would not confirm whether the disgraced former 19 Kids and Counting star is at the center, Richardson did open up about their program, which he claimed to boast an "over 80 percent success rate."
"Success defined by being free from destructive habit," he elaborated. "They no longer fall prey to that. Second definition is that they are employed. Third is getting involved, and attending a local church. Local church is God's support group and that is important to recovery."
Upon completion of the program, alumni are checked in with on a bi-annual basis.
"They reach out to family to check on the patient," said Richardson, who himself is a former patient of Reformers Unanimous. "This is not a battle fought everyday. This is a victory program."
"I am a graduate of the men's program with a drug addiction," he said. "Our curriculum is the Bible."
Josh, who in May 2015, admitted to molesting five young girls as a minor, and in July, confessed to being unfaithful to his wife Anna after being discovered in a data breach to have two paid accounts on the affair-oriented website, Ashley Madison, has checked himself into rehab, possibly seeking treatment for his sexual issues. Richardson discussed what might lead to someone with a religious upbringing such as Josh's to struggle with such issues.
"We have a free will. We might know the difference between right and wrong," he said. "But little sins lead to big sins. Someone may start with a small compromise, and that turns into a great compromise against what they have been taught."
"Kids think fun can't equal bad," he continued, arguing that stronger education on sin might help prevent sexual issues. "It needs to be known that sin is so wicked, that for a while it may be fun, but it always ends in destruction."
"More people are affected with sexual sin now than we would ever hope to see," said Richardson. "If a parent called me with that problem, you know, we work with the government. If someone told us a law was being broken, we would report that."
Despite harsh criticism of Josh from several members of the Duggar family, including Anna's own brother, the 27-year-old's wife appears to be staying with him. Richardson pointed out that families are encouraged to take an active role in the recovery process.
"We encourage the family to follow along," he said. "There is an opportunity for them to come up for family therapy. There are visits that are not necessarily monitored. There are opportunities to sit down and work the healing together."
So, how does someone return to a "normal" sex life after leaving the program? According to Richardson, "normal" is "not defined by the number of times, but more so love and respect for your partner. And being faithful and trusting. That love and respect leads to physical intimacy."
"The Bible talks about intimacy, relationships between a husband and wife. The Bible deals with intimacy and lust. So it is turning to God's teachings," he said. "Fun is allowed in marriage, it is supported. But sin is destructive."
The stated mission of Reformers Unanimous "is to train and empower men and women to live victorious Christian lives, enabling them to have permanent victory from any and all crippling sins." It's a $7,500 program that lasts approximately six months. On its website, they sell a "personal daily journal," which Richardson calls a tool to be used "between you and the Lord."
"Every part of our program is in place to transform a 'non-functioning' person into a stable, successful member of society," reads a statement on the rehabilitation center's website.
However, the allegations against Josh are getting all the more shocking. Adult film star Danica Dillon, 28, claims that she had sex with Josh on two separate occasions -- both times allegedly while his wife Anna was pregnant with the couple's fourth child, Meredith, who was born on July 19.
Members of the Duggar family have distanced themselves from Josh, and Daniel Keller, Anna's brother, said on Facebook last week, "I won't stop trying to get that pig out of our family."
"I told her I would go get her and let her and her children stay w me," he wrote about his younger sister and her four kids with Josh: Mackynzie, 5, Michael, 4, Marcus, 2, and 1-month-old Meredith Grace. "I have been thinking of her and sick to my stomach for her for last few days."
On Thursday, after Josh's admission to rehab, two Duggar family members spoke to ET about being "shocked and broken and furious" over the news.
"Josh’s integrity is gone," said one family member. "It’s scary. You never know who can have a double life. You really think you know someone. Josh was caught with his hand in the cookie jar and I hope he gets broken in rehab and gets the help he needs. I hope Anna finds the strength to make some changes."
"My heart is broken over this," said a second family member. "I hope and pray Josh gets the help he needs."