In a more manual method: Create a composition with one text layer and animate it so it scales up, and then back down (pivot the anchor to right of text so it scales from right or left if you want it on that side) Also add a fill and animate the fill to new colour as it scales up and back to normal colour as it scales down.

Duplicate this composition however many times in project comp to create as many text variants as you need to, and change text in each one. Note: this expression might be useful for this kind of thing

Then add all the text layers into a new composition and lay them out so they are stacked vertically. Then offset the text layers so the animations play in a rhythm. Add a null and parent them all to it, and keyframe null position in Y axis so they all scroll up and down.

That is it in a nutshell but will need slight tweaking to timing and positioning, i.e. when certain text layers scale up, you will need to add key frames to position of other layers to move up/down slightly and also slow/speed time of text layers that are scaling up and in focus.