What is the ruling on one who practiced masturbation out of ignorance that rubbing against the bedding is a part of it, and what is the expiation for that, and is rubbing against the bedding considered like masturbation?

Masturbation is the intentional expulsion of semen by any means. Your deliberate rubbing against the bed has the ruling of masturbation. If what was discharged was madhiy (prostatic fluid), then your fast is not invalidated. If it was semen, then your fast is valid because you are excused by ignorance. The prayers you performed while in a state of janabah (major ritual impurity) must be made up according to the majority of scholars. If you do not know their number, then continue making them up until you are certain your obligation has been fulfilled or you predominantly believe so. Some scholars said that you are not obligated to make them up.