Hmmm but what does "vain repetitions" really refer to?
There are a couple definitions of the word "vain."
A quick search on Google brings this up.
View attachment 9807
In the Greek it means
battologéō – properly, to blubber nonsensical repetitions; to chatter (be "long-winded"), using empty (vain) words (Souter).
So to pray the same prayers, like saying Grace, using prayer books, praying for a good nights sleep, is not what I would consider a nonsensical repetition, it's not what I would call praying with empty words. If you are praying with heart and because you want to, that's not a vain repetition, if you are praying because you want to talk with Jesus, that's not a vain repetition.