Galileo was correct that the Earth is in orbit a around the Sun, this is because the Earth (a rather tiny object in comparison) is held in the gravitational orbit of the Sun (a massive object).
Any model that has the Sun circling the Earth is ludicrous.
What force do you think could move the Sun around the Earth while leaving the Earth motionless?
Galileo knew nothing about gravity as one of the forces in physics. That is why he scoffed at the tides being related to the moon. You are confusing him with Newton.