Yesterday, EA's Star Wars Battlefront beta support message was: "A lot of interest around the beta. We're bringing more PC servers online and appreciate your patience." That was 17 hours ago, and whatever EA DICE has done seems to be working - Digital Foundry's Richard Leadbetter, who couldn't find an online server to play on, on PC, most of yesterday, is now playing.
This may not be the same for you, and may have something to do with it being early morning and not prime-time evening. Generally, however, the volume of complaints has dropped off. But again, this may have something to do with the time of day, so please let me know below if you're still struggling to find servers.
When the beta gates opened yesterday and people flooded in, reports of not being able to connect to online servers emerged (there are threads on Reddit and the official forums, and our own forum). And as the game finds matches automatically for you, you either get a game or do not - you have no further control. The problem seemed to be more prevalent on PC but people on PS4 and Xbox One reported it too.