Putin is correctly pointing out that ethnic Russians/Russian speakers in the Baltic states are effectively stateless and are legally discriminated against, with the EU and US turning a blind eye. This discrimination is done out of sheer vindictiveness.
It was only very recently that same sex sexual activity has been legal in the US -- 2003 to be exact. Gay marriage remains illegal in many states. Sodomy laws were struck down in Texas, Oklahoma, Kansas, counties of SE Missouri, Virginia, N & S Carolina, Florida, Mississippi, Alabama, Louisiana, Colorado and Idaho only in 2003. The Defense of Marriage Act was enacted in 1996 and has been largely struck down in the courts since then. 'Don't ask, don't tell' was how LGBT servicemen and women were expected to live their lives in uniform from 1994 until 2011. DADT followed the relaxation of restrictions on service in the military by gay Americans that were in effect until 1993.
In my own lifetime, the National Guard was sent to various states in the South of the US to enforce school segregation and it took an amendment to the constitution to clarify that black people do in fact have the right to vote. Marriage between black and white men and women was legalised only in the last 50 years.
The US is pretty shameless about preaching to other countries about how they should be run, when you think about it.
In the UK, brilliant mathematician and patriot Alan Turing was hounded to suicide in the 1950s. As late as the late 90s there were attempts to enact a higher age of consent for homosexual sex than for heterosexual sex on the grounds that the protection of children was at stake.
Yet Britain joins the chorus of booing when Russia does not fall over herself catching up with rights that took gay people in the west hundreds of years to win.
Meanwhile in China, human and civil rights abuses go unchecked, Tibetan culture and society are being wiped out, prisoners are hired out to factory owners for profit. The US occasionally makes a bit of a meek peep about rights, but not too loudly for fear of upsetting the American business interests who make a fortune in China.