Is my prayer considered invalid according to what was mentioned about my repeating the prostration and then performing the prostration of forgetfulness, and is it legislated to repeat the prostration of forgetfulness if I make a mistake in its remembrances and takbirat?

Prostration is not invalidated by lifting some fingers of the hand. It is sufficient to prostrate on some parts of a single limb. The prayer is not invalidated by adding a third prostration out of ignorance. The prostration of forgetfulness (Sujud Al-Sahw) is prescribed after the Taslim. The prostration of forgetfulness is not repeated if a mistake occurs within it, especially for one afflicted with obsessive whispers (waswasah).