It might be a bit too simplified to attribute the Iranian revolution to just one man and his ideas. He's now dead, by the way. Many forces contributed to how the Islamic revolution unfolded and how policies, also towards women changed compared to the Shah era.
It is simply untrue that the sixties and seventies were a haven for unopressed men and women and modernity and liberty. Demonstrated by for example women and communists as identifiable groups that fomented the revolution. Especially the latter were probably not very satisfied with the outcome. But our minds are misled by moving pictures from that era that were made in big cities. Persian and Iranian society was very patriarchic, and sharia only added to that a convenient layer of justification, as it does now.
Employers depict women as less reliable in the workforce as opposed to men. However, the Islamic Revolution had some influence in changing this perception. Secular feminists and the elite were not happy with the revolution, while other feminists such as Roksana Bahramitash argue that the revolution did bring women into the public sphere. The 1979 Revolution had gained widespread support from women who were eager to earn rights for themselves. A woman's responsibility and obligation was in the home, which was the underlying basis of the Islamic Republic. Olmsted adds to this by stating that women have this "double burden." In addition, men had the right to inhibit their wives from entering the labor force. Ali Akbar Mahdi is in agreement with Parvin Ghorayshi in that through the domestication of women and confinement to the private sphere, they were being exploited in non-wage activities. In Karimi's viewpoint, after the revolution, even though it had been accepted on paper that women had an equal right to employment, she believed that this did not show in practice. Comparing the pre-revolution and post-revolution era, between 1976 and 1986, the labor force participation of women had declined immensely from 12.9 percent down to 8.2 percent. In addition, during the 1990s, women were being compensated for their housework due to the domestic wage law which allowed women to demand compensation from their husbands for their housework in the event of a divorce.
WP: Women in Iran
Concerning "women", Khomeini said:
In Europe and the United States there is a general view of women in Iran and the Islamic World writ large as victims of a patriarchal system that oppresses and enslaves them. Such a perspective was criticized by Ayatollah Khomeini, who argued:
People say that for instance in Islam women have to go inside the house and lock themselves in. This is a false accusation. In the early years of Islam women were in the army, they even went to battlefields. Islam is no opposed to universities. It opposes corruption in the universities; it opposes backwardness in the universities; it opposes colonial universities. Islam has nothing against universities. Islam empowers women. It puts them next to men. They are equals.
An interview from 1979 some six months into the revolution in full length with between Khomeini and a somewhat confrontational journalist might shed some light on what he claimed and what went on, in contrast to the quote from Wikipedia.
FALLACI: Please, ‘mam, there are many things I still want to ask you. For example, this chador that they made me put on, to come to you, and which you insist all women must wear. Tell me, why do you force them to hide themselves, all bundled up under these uncomfortable and absurd garments, making it hard to work and move about? And yet, even here, women have demonstrated that they are equal to men. They fought just like the men, were imprisoned and tortured. They, too, helped to make the revolution.
KHOMEINI: The women who contributed to the revolution were, and are, women with the Islamic dress, not elegant women all made up like you, who go around all uncovered, dragging behind them a tail of men. The coquettes who put on makeup and go into the street showing off their necks, their hair, their shapes, did not fight against the Shah. They never did anything good, not those. They do not know how to be useful, neither socially, nor politically, nor professionally. And this is so because, by uncovering themselves, they distract men, and upset them. Then they distract and upset even other
FALLACI: That's not true, Imam. In any case, I am not only talking about piece of clothing, but what it represents. That is, the condition of segregation into which women have been cast once again, after the revolution. The fact that they can't study at university with men, or work with men, for example, or go to the beach or to a swimming pool with men. They have to take a dip apart, in their chadors. By the way, how do you swim in a chador?
KHOMEINI: This is none of your business. Our customs are none of your business. If you do not like Islamic dress you are not obliged to wear it. Because Islamic dress is for good and proper young women.
New York Times: An Interview With KHOMEINI OCT. 7, 1979