How the fuck has he shown that? How many countries has Russia invaded since Putin got into power?

Not counting Chechnya (which should arguably have become independent after the dissolution of the USSR) and the attempts at colonialism in Africa and Arabia: Two. Georgia and Ukraine. On top of that he continued the occupation of Moldovan territory.

The US and their NATO entourage.

...have not annexed territory since... I'm too lazy to look it up. For the US it's Hawaii, I think. Also comparing Russia to the US is choosing an awfully low bar. It's like the US saying "but we imprison a smaller amount of our population than North Korea!"