First question: are you new to After Effects?
Second question: do you have any third party plug-ins like the Particular or Borris FX?
I'm assuming you are referring to this:
AE is more than capable of reproducing those effects. The effect is nothing new. Third-party plug-ins just make it easier. If all you have is the standard set of plug-ins using multiple copies of the text layer and displacement effects. Here is a tutorial from a zillion years ago that will get you started on the concept: George Polevey's Flowing Text Tutorial : Adobe After Effects I'm pretty sure that tutorial is fourteen or fifteen years old. It's too bad that the link to the video is gone. It looks an awful lot like your example.
Here is another from Andrew Kramer: VIDEO COPILOT | After Effects Tutorials, Plug-ins and Stock Footage for Post Production Professionals
You can also use turbulent displace (not available when George wrote this tutorial and you can use a bunch of different effects to generate the glows. You should become familiar with displacement, blend modes, pre-composing and timing. The tutorials should get you started. BTW, it's easier for all of us on the forum if you use the embed tools to add sample videos and you can just drag screenshots to the reply field or use the icons at the top of the reply field to help us see what you are trying to explain.
Hello, Mr. Gerard. Thank you SO much for replying! Yes, I'm more or less new to After Effects like I wrote above but I have a knack of learning things quickly. I don't have those plug-ins that you mentioned. I just checked them and if it's something you'd advise to have, I think I can afford the Trapcode Particular. Also, thank you for the tutorials. I'll check them out and see if I can make something out of it. Best regards!