Break it down! It's not so bad:
> A composition
A bunch of stuff
> a messenger ribonucleic acid (mRNA)
mRNA are cellular instructions on how to make proteins that are read by ribosomes that make those proteins as they read along.
> an open reading frame
This is something that starts with a "start codon" and ends with an "ending codon" and encodes valid instructions to make a protein between.
> encoding a betacoronavirus (BetaCoV) S protein or S protein subunit
The instructions refer to the spike protein of a betacoronavirus, or a fragment thereof, because this is what we want the immune system to pay attention to (and make antibodies to bind to and neutralize).
> in a lipid nanoparticle
The immune system gets pissed off about mRNA floating around, because that's one of the things that happens with active infection. So if you want this to get into cells and tell them to make your protein, you need to encase it so that it mostly escapes immune notice itself.