This claim is largely false. Rather than being the result of a "literal Nazi coup," Ukraine’s 2014 revolution (the “Euromaidan”) stemmed from widespread domestic protests against President Yanukovych’s decision to abandon an EU association agreement in favor of closer ties with Russia, as documented in this Reuters timeline. Parliament voted to remove Yanukovych following the escalation of those protests into violent clashes.
Furthermore, in 2015, Ukraine's parliament passed legislation explicitly banning Nazi propaganda and symbols. It's unclear which specific ethnicity the original claim alleges is being "cleansed," but this echoes narratives pushed by Vladimir Putin about alleged killings of Russian speakers in Ukraine—claims that remain unsubstantiated by credible evidence.
The assertion that all left-leaning political parties have been banned is more complex. While it is true that Ukraine banned the Communist Party and similar smaller parties in 2015, and that following the 2022 Russian invasion several other parties (many with socialist-sounding names) were suspended on grounds of alleged collaboration with Russia, the situation is nuanced. As the Democratic Socialists of America note, these claims of collaboration have not been fully proven. Russian-American socialist writer Greg Afinogenov points out that “it’s true that these parties were in fact pro-Russian but their politics were often incoherent,” sometimes including far-right and even fascist tendencies. He adds that “the firm linkage between pro-Russian (or pro-peace) views and welfarist politics” in Ukraine “has meant that when the Russian invasion discredited the former, the latter lost out too,” suggesting that the intent was to target pro-Russian sentiment, not left political ideology.
For further reading, a similar claim was posted here—this one specifically alleging that Volodymyr Zelensky is a Nazi.