Hello JessTwiga,
That would be the Yatsuhashi. There are numerous companies in Kyoto that make them and they all have stores around the sightseeing places.
There are three basic kinds, raw, filled with various flavored bean pastes and baked. They are usually flavored with cinnamon.
If you are ever giving a present of sweets to someone in Kyoto, DO NOT give them yatsuhashi.Yatsuhashi is most commonly purchased by junior high school students on their school excursion to Kyoto.
The baked ones crumbled on vanilla ice cream is great!
http://en.wikipedia.org/wiki/Yatsuhashi