The thing about generational cohorts are that they share a set of significant experiences at a common point in their growth to adulthood. So for me it was Jimmy Carter, Regan, "Stagflation" and the post Vietnam War mess. For teens today it will be around things like Yik Yak, internet lives, Ferguson riots, Snowden, and debt. The government is perceived in a "way" and the world is being wrenched by a particular set of issues, and your family is affected by various events, and your peers are passionate about various causes. They all add up to a generational "imprint" which is the poly miasmic tint that affects the perception of every future event. You break free from the crysalis that is childhood innocence and your eyes open up on a wider stage, and it is that first moment of perception that lays all sorts of groundwork in you about what is important and what isn't, what is right and what is wrong.
Oddly there is no way, really, to easily not get imprinted, and because of that imprinting you will recognize others who came of age at that same time as peers and people who came of age earlier or later as "different" (sometimes good different and sometimes bad different).
Because those groupings exist, they cannot help but exist, and as you get older you will see different groupings reacting to the same sorts of problems everyone deals with (dating, jobs, careers, families, politics) and you will recognize that different groups react differently from other groupings but similar to other members of the group, well you'll want to put a name to that. And you'll call them the "<nom de jeur> generation" or "our generation" or "my parents generation".
It would be good to ditch being sensitive about how folks of your generational cohort respond though. Getting past name calling is usually a good sign of maturing. Not that it won't bother you, just like getting stung by a bee often bothers you, except that you can see and accept the bee sting, and the name calling, for what it is, the last ditch response of an organism that is feeling threatened.