Whilst not commonly known moss will build up on artificial grass..
Moss Control for Artificial Surfaces
Products such as AlgoClear will control moss on artificial lawns, decking and artificial sports pitches. Using this along with regular brushing will ensure that your artificial turf / grass and surfaces will be kept moss free for a period of time.
£78.75 + VAT £94.50 inc VAT
£23.50 + VAT £28.20 inc VAT