Adding to the chaos, Islamic State is marching on Vienna and Spain has caused a diplomatic crisis with Britain by cutting off routes to Gibraltar.
On Sunday Farage tweeted:
BBC's Pro-EU mockumentary - UKIP asks 'Where's your EU logo?' http://t.co/hPPmnJmuKf— Nigel Farage (@Nigel_Farage) March 1, 2015
The article linked to in the tweet alleges the BBC has received £22 million in funding from the EU over the last seven years and as such should display an EU logo.
Ukip MEP and financial affairs spokesman, Steven Woolfe, who said: “It is clear that some management in the BBC believe the supposedly independent news organisation must act as a propaganda agent for the EU.
"Many of the BBC’s fine and independent minded journalists and producers are no doubt appalled and embarrassed by this state of affairs.
"EU law states that organisations that received funding from the EU must display an EU logo. We see it on building, bridges and roads across Europe.
"Given that the BBC has received £22 million from the EU, UKIP asks where is the BBC’s EU logo displayed on the programmes that it makes?"
The programme was made by former Economist editor Bill Emmott and Italian journalist Annalisa Piras.
It stars Angus Deayton as an archeologist trying to explain what the single currency was to a young girl he meets on a flight.
The BBC describe it as: "Through case-studies of citizens in different countries, the film explores a range of factors that have led to the present crisis, economic and identity challenges across Europe.
"High-level experts analyse how and why things are going so wrong."
The programme has already been slated by Eurosceptic MPs.
Tory MEP Daniel Hannan said: "This is typical of the pro-EU side. They make such ludicrous claims they make themselves look ridiculous."
A BBC spokesman told the Huffington Post UK: "No EU money was used in the making of the programme being aired on the BBC. Impartiality is of paramount importance for the BBC.
"This fictional programme reflects the author's vision. BBC editorial guidelines do not prevent the acquisition of independent programmes which approach subjects from a particular perspective."
The Great European Disaster Movie will be immediately followed by a special Newsnight debate at 11.20pm, which will feature a range of contributors - Bill Emmett, former editor of the Economist and one of the journalists who made the film; Peter Hitchens, columnist for Mail On Sunday; former Chancellor of the Exchequer Lord Norman Lamont; Marina Prentoulis of Syriza; Mark Reckless MP; and Sonia Sodha, associate of the think-tank Demos - who will discuss issues raised in the film.