A pair is two of something, but a pair can be singular or plural—it's one of those odd English nouns (like "couple") that can be singular or plural depending on how you're thinking of the people or items in question.

Is it correct to say two pair or two pairs?

The plural of pair is pairs. You ordered both pairs of shoes from Amazon. You'll pick up two pairs of pants at the dry cleaners. Perhaps the person who left four pairs of shoes in the garage should bring them inside where they belong.

Is there a plural for pair?

noun, plural pairs, pair. two identical, similar, or corresponding things that are matched for use together: a pair of gloves; a pair of earrings. something consisting of or regarded as having two parts or pieces joined together: a pair of scissors; a pair of slacks.