Will more solar systems form in the far future than in today's universe?

Possibly. As more of the interstellar medium is enriched by supernova the loading of heavy elements must increase, so there would be a higher fraction of material out of which to form terrestrial planets. The problem is that, over billions of years, more interstellar gas is being buried in dense objects like white dwarfs, so as time goes on, spiral galaxies eventually lose their planet and star-forming interstellar gases. Today, less than 10 percent of the mass of the Milky Way is in interstellar gases, so we really don't have too many billions of years ahead of us when planet formation can continue, even though the materials available then may be 2-5 times more enriched in planet-forming compounds. It's literally a race against time.