You failed to mention whether you are the younger guy or the cougar. But assuming that you are the cougar, the answer is; Yes, some young men like older women. The reason for this has to do with a lesser known internal image set known as a man's Anima. The Anima is the result of the existence of a minority of the chromosomes that code for the opposite sex (female) in every man's genetic makeup. This minority defines the woman that a man would have been if he had not become male. (we all start out as female in the womb) As the "woman that could have been" the Anima has an appearance (in the case you're interested in, the Anima is an older woman). This Anima presents an idealized image of desirability within the man's unconscious and this idealized image is often projected onto a real woman. Hence, the attraction some younger men (myself included) feel toward older women.
An older woman trying to be with a younger guy
It is an older man seeking out younger women. Basically the opposite of a cougar.
They are commonly referred to as "cougars" when older women date younger men.
The male version of a cougar; an older man who preys on younger women.
A woman who dates younger women may be referred to as a "cougar."
A woman who dates younger men and is typically older than her partners is often referred to as a cougar. The term "cougar" is often applied to women who are in their 40s or older.
An older man dating younger women is commonly referred to as a "sugar daddy" or in some cases as a "May-December" relationship.
The term "cougar" refers to older women who are typically attracted to younger men. The term is often associated with the idea of these women "hunting" for younger partners, similar to how a cougar hunts its prey in the wild. It is based on stereotypes and can be seen as derogatory.
Woman over the age of about 40 who seek out much younger men to have sex are called Cougar Women. Cougar Women are going to frequent places where younger men generally hang out. Clubs, bars, sporting events etc. look for older women who are wearing animal print clothing. They are generally thought to be more sexually agressive.
A Lion.
The term "cougar" is slang used to describe older women who are typically attracted to younger men. The term may suggest that these women are predatory or aggressive in pursuing their relationships, similar to how a cougar hunts its prey. It is a colloquial term and is often considered derogatory or objectifying.
Younger men who are romantically interested in older women are often referred to as "cubs."