That's why I asked above "It can be very difficult to wet peat moss when it has dried, was it damp in the bag when you purchased it and has dried out since, or was it dry to start with? " I guessed from your answer that it was not dry from the bag? Often with dry peat moss products the instructions tell you to wet thoroughly before using. Once peat moss is wetted it is capable of holding a lot of water, but sometimes a product will be so dry in the bag that you have to kind of mix it bit by bit with water, kind of like mixing batter
Some products contain a wetting agent.
By "garden soil" you mean the bagged product? The names of some of those, in North America at least, can be very misleading, but I don't think that it's necessarily a bad product based on that alone. Normally once it's wetted and mixed in with the soil, peat moss doesn't get too dry, in my experience anyway. The only place I can think of where that happens here is in a planter that has a roof overhang so gets no rain or snow during the winter months when nothing is growing in it - it takes a lot of watering to get it ready for planting again in spring.