Defending Ukraine Sovereignty Act of 2022 This bill authorizes security assistance for Ukraine, requires sanctions against Russia if it escalates hostilities in or against Ukraine, and addresses related issues. The bill (1) authorizes the Department of Defense to use various authorities to provide and expedite the delivery of defense articles to support Ukraine's armed forces, (2) allows the President to exercise drawdown authority to provide defense articles to Ukraine, and (3) authorizes the Department of State to provide International Military Education and Training assistance to Ukraine. The President must periodically determine whether Russia's government is significantly escalating hostilities in or against Ukraine and whether such an escalation has the aim or effect of undermining Ukraine's government or interfering with Ukraine's sovereignty or territorial integrity. If the President determines that Russia's government has engaged in such escalation, the President must impose sanctions on (1) certain government officials, including Russia's president and prime minister; (2) certain Russian financial institutions; (3) entities involved in certain transactions involving Russian debt; (4) entities (and corporate officers of such entities) involved in constructing or operating Russia's Nord Stream 2 natural gas pipeline; and (5) certain entities involved in Russian resource extraction industries. The President may terminate such sanctions after certifying to Congress that Russia's government has taken certain actions, such as entering into an agreed settlement with Ukraine's legitimate democratic government. The bill also authorizes Radio Free Europe/Radio Liberty to explore opening new bureaus to reach new audiences on Russia's periphery. The State Department must establish an initiative to deepen and foster ties with the Baltic states.