Answer by taking a quote from the following article:

Focus on the Family (FOTF or FotF) is an American Christian conservative organization founded in 1977 in Southern California by psychologist James Dobson, based in Colorado Springs, Colorado. It is active in promoting an interdenominational effort toward its socially conservative views on public policy. Focus on the Family is one of a number of evangelical parachurch organizations that rose to prominence in the 1980s. As of the 2015 tax filing year, Focus on the Family declared itself to be a church.

Social scientists have criticized Focus on the Family for misrepresenting their research in order to bolster its own perspective. Researcher Judith Stacey whose work Focus on the Family used to claim that gays and lesbians do not make good parents, said that the claim was "a direct misrepresentation of the research." She elaborated, "Whenever you hear Focus on the Family, legislators or lawyers say, 'Studies prove that children do better in families with a mother and a father,' they are referring to studies which compare two-parent heterosexual households to single-parent households. The studies they are talking about do not cite research on families headed by gay and lesbian couples." FOTF claimed that Stacey's allegation was without merit and that their position is that the best interests of children are served when there is a father and a mother. "We haven't said anything about sexual orientation" said Glenn Stanton.  James Dobson cited the research of Kyle Pruett and Carol Gilligan in a Time Magazine guest article in the service of a claim that two women cannot raise a child; upon finding out that her work had been used in this way, Gilligan wrote a letter to Dobson asking him to apologize and to cease and desist from citing her work, describing herself as "mortified to learn that you had distorted my work...Not only did you take my research out of context, you did so without my knowledge to support discriminatory goals that I do not agree with...there is nothing in my research that would lead you to draw the stated conclusions you did in the Time article." Pruett wrote a similar letter, in which he said that Dobson "cherry-picked a phrase to shore up highly (in my view) discriminatory purposes. This practice is condemned in real science, common though it may be in pseudo-science circles. There is nothing in my longitudinal research or any of my writings to support such conclusions", and asked that FOTF not cite him again without permission.  After Elizabeth Saewyc's research on teen suicide was used by Focus on the Family to promote conversion therapy she said that "the research has been hijacked for somebody's political purposes or ideological purposes and that's worrisome", and that research in fact linked the suicide rate among LGBT teens to harassment, discrimination, and closeting. Other scientists who have criticized Focus on the Family for misrepresenting their findings include Robert Spitzer, Gary Remafedi and Angela Phillips.

how was it misrepresented?
Studies prove that children do better in families with a mother and a father,