There is a Male Version of a Cougar
A few years ago, the term "cougar" entered common usage to describe an older lady attracted to younger men. It seems to have started in Canada in or around 2002 and expanded from there. Fortunately, there is a term used to describe a male who exhibits similar conduct, which means he has a desire to seduce younger women. Such a person is known as a rhino.
Although the phrase isn't as old as the cougar, it has been in use for a while. According to a 2009 article on the subject, the Urban Dictionary already has an entry on the subject. You may counter that the Urban Dictionary is far from being an authoritative source, but gender-specific phrases for older people trying to hook up with younger people are far from being authoritative in the first place.
The fact that cougar is almost always worn as a badge of honor and conjures up images of cats, which are typically considered to be aesthetically pleasing and feminine, as opposed to the term rhino, which is, and I quote, "both horny and ugly," may be part of the reason why it hasn't gained as much traction as cougar.