Yes, according to the site it contains music from both seasons:
Quote:
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アニメ第1期と√AのBGMを多数収録した 豪華2枚組！
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They also announced 6 bd/dvds for the new season with one CD each as first press bonus so they might contain some unreleased music. No details about the CDs from vol.2-6 right now, vol.1
here.