They created Ghidorah to destroy Japan and claim power for themselves.
Godzilla beats up Ghidorah, but the Futurians bring the cybernetic Mecha-King Ghidorah from the future to finish the job.
Well, they end up accidentally creating the second Godzilla (the original Godzilla died in his very first movie, and all the subsequent movies follow a different Godzilla), but purposefully create King Ghidorah.
This makes no difference to Godzilla, who still wins and history is more or less intact.