The two possibly have never met nor interact in front, their personalities aren't very alike. Eula is more elegant, meanwhile Razor isn't as he has been raised by the wolves and doesn't know how to properly talk that much. The two have some similarities, which they're from the same nation, Mondstadt. They're both known to be a physical damage character, based, on their stats.
Eula has a voice-line about Razor, saying his life must be easy since he's free from social mores and other people's opinions, and no family obligations since Eula has encountered this a lot due to her being in the Lawrence Clan. She is seemed to want that life, that Razor has. Meanwhile, for Razor, he has no voice-lines about Eula.
- “Free from social mores and other people's opinions, and no family obligations... Must be an easy life!”
- — Eula about Razor
Euzor is a rarepair in its fandom and not known or shipped by that many people. There are more popular ships that people prefer like EulAmber and Rannett. It also isn't that well liked since Razor is a teenager while Eula seems to be older. It also isn't very popular since they don't interact that much outside of Eula's voice-line. There isn't much fanart depicting the two together. There are only 2+ works for the pair on AO3, although none of them are romantic.