Complex sentence: He allegedly uses the show as a soapbox to promote the Kremlin's policies and denigrate the West and is controversial for "maligning homosexuality and speculating about Western-led conspiracies" on the programme as well as using it to attack the political opposition to Putin.
Split into simpler sentences: He allegedly uses the show as a soapbox to promote the Kremlin's policies and denigrate the West. He has attracted attention due to his controversial comments, such as "maligning homosexuality and speculating about Western-led conspiracies" on his programme as well as using it to attack the political opposition to Putin.