Infestation of mushrooms

It's just all the dampness around. They keep popping up in the lawn here. I just pick them out with my gloves on and pop them in the compost bin.

I'm not a fungi expert by any means, but if you put them in the compost are you not recycling the spores from the mushrooms to grow again next time ? Not sure about this.
Please someone with fungus knowledge confirm. Thanks.

I pick them up every day - before they are big enough, I think - only think! I haven't had any problems with my compost or any growing in the borders, so I hope it's OK.

Its not a good idea to try and kill fungi that aren't harming your plants. The soil is full of fungal strands (mycelia) many of which are beneficial and help the growth of plants in many ways. Its only because we have had a lot of rain this year and also September is their prime time for making fruiting bodies above the soil. If you put the mushrooms on the compost heap you will put the spores there but as I said the soil is full of them anyway. I did spend a lot of time studying them.