Positive information about Eugenie is buried deep into an article and picture of her leaving a night club since it's easier to be negative and perpetuate negative stereotypes.
A few weeks back buried deep in an article came the information that Eugenie had recently come back from spending time in Poland at a Children in Crisis project. ( Children in Crisis is her mother's charity and has worked in Poland since the mid 1990s) One of the von Bismark boys that are family friends was with her, also mentioned in the article was that Eugenie made a private visit to Auschwitz. It seems it is possible to live a royal life outside the glare of photographers, so not seeing them in the papers doesn't mean they're not doing anything.
The York girls have shown that they are prepared to do both charity and royal events. It is squarely the fault of Buckingham Palace that they not been given any royal engagements to do. The charity work they've done so far is all because their mother organised it, the 18th birthday hospital visits ( both girls) Sarah is the patron of the Teenage Cancer Trust so they went with her. Beatrice is an ambassador for her mother's Children in Crisis charity, she has attended fundraisers for it, her first official engagement was at the age of 13 when she visited a Children in Crisis project in Russia with her mother.
Both girls attend royal events, eg last week the unveiling of the QM statue. The other royals, including William and Harry ( who's official engagements are organised by Clarence House, not Buckingham Palace, from when they started) had the statue engagement listed as an official engagement in the royal calendar and court circular, not Beatrice and Eugenie, they did the same as their cousins, uncle and aunt ( Edward and Sophie) they turned up.
The fault that people keep finding in both girls is unfair, both finished high school, Beatrice is the first British princess to attend university, Eugenie will be the second. They support their grandmother, turn up to all royal events, neither has done a 'tell all' negative interview to the tabloids, as did Princess Alexandra's daughter Marina. They have shown that they are willing to take on charity work, it's up to Buckingham Palace, who organises Andrew's, Edward's, Sophie's and Anne's engagements ( as well as the Queen and DoE) to use them. The criticism is being directed at the wrong people, the problem with engagements isn't due to the York girls but to Buckingham Palace.