Some players are having issues connecting to the Glyph Client, especially since RIFT 3.5 Hotfix #2.
Trion is aware of the issue and actively investigating to resolve it.
In the mean-time, a temporary, potential workaround is to exit Glyph, delete your Glyph cache file and re-launch the Glyph Client.
Your Glyph cache file is usually located at C:\Users\[YOUR USER NAME]\AppData\Local\Glyph\Cache.
For players who open the game through Steam, your Glyph cache file will be located at:
C:\Program Files (x86)\Steam\steamapps\common\RIFT\GlyphClient.cfg
You will likely be able to get more updates about the status of the Glyph connectivity issues from CM Ocho’s thread here.
RiftGrate 
I had no issues logging onto my 2nd account, so now I just swap between them. But the main account takes 10-20x longer to load.
I had error #2025 today. Managed to login just retrying and played for like an hour. Then after eating I went back to login again and had error #2025 again but this time I couldn’t make it work. Tried restarting the modem, checking firewall, execute glyph as admin. I couldnt find the cache data because I use it via Steam and it seems to be somewhere else (not in AppData\Local\Glyph\Cache).
So I tried the “verify game cache” option in Steam, after a minute it said like 1700 files missing, downloading. And now its downloading 18.2 GB … I guess is kinda the latest RIFT update to Steam, which is not the same as in Glyph? So now I’m stuck re-downloading the game.
TL;DR: Steam users, don’t use “verify game cache” with RIFT 😦