“Takeout” is an American term, and “takeaway” is a British term. A “fakeaway” (fake + takeaway) is an imitation takeaway made at home, to save money or for convenience.
     
“Sainsbury’s reports the emergence of the ‘fakeaway’”—Sainsbury’s is a supermarket chain—was printed in Twelve Thirty Eight on July 17, 2008. “TAKEAWAYS are giving way to ‘fakeaways’ because of the credit crunch, it was claimed yesterday” was printed in the Daily Record (Glasgow, Scotland) on July 18, 2008. “Fakeaway” was entered in the Urban Dictionary on September 19, 2008, and on WordSpy on October 30, 2008.
   
   
Wiktionary: Fakeaway
Etymology
Blend of fake +‎ takeaway.
Noun
fakeaway (plural fakeaways)
(UK, Australia) A homemade meal intended to replicate takeaway food ordered from a restaurant.
     
18 July 2008, Daily Record (Glasgow, Scotland), “Chinese fakeaway,” pg. 17:
TAKEAWAYS are giving way to “fakeaways” because of the credit crunch, it was claimed yesterday.
 
Half of shoppers are cutting back on carryout food or have stopped buying it altogether, Sainsbury’s said. Sales of ingredients for Indian and Chinese dishes have shot up.
 
2 August 2008, Express & Echo (Exeter, UK), “Making your own fake-away lunch: Take-away sandwiches, that lunchtime stable for millions of workers, may be the latest victim of the credit crunch squeeze,” pg. 26:
Take-away sandwiches, that lunchtime stable for millions of workers, may be the latest victim of the credit crunch squeeze.
 
Cash-poor employees are increasingly trying to save money by making a ‘fake-away’ - a sandwich they’ve made at home but which they bring into work.
 
Urban Dictionary
fakeaway
Curry, or any other manner of takeaway food, that is made with ingredients and jars of sauce from the supermarket
Fakeaway, a home-made, belt-tightening version of a takeaway
by $aze September 19, 2008
   
21 September 2008, Scotland on Sunday (Edinburgh, Scotland), “A Layman’s Guide To Cityspeak,” pg. 17:
FAKEAWAY: A homemade version of a takeaway to save money, according to Sainsbury’s. Likely to involve a jar of own-label curry paste and a pack of naan bread, washed down with cheap supermarket lager.
     
WordSpy
Posted on October 30, 2008
fakeaway n. A homemade meal that is similar to a takeaway meal purchased from a restaurant. [Blend of fake and takeaway.]
(...)
Earliest Citation:
(...)
“Cooking fakeaways at home is great fun and is the perfect way to love your leftovers.”
—“Sainsbury’s reports the emergence of the ‘fakeaway’,” Twelve Thirty Eight, July 17, 2008
   
Notes:
The word takeaway — a meal sold to be eaten elsewhere — dates to about 1964. That sense of the word is primarily British. In North America, people use takeaway either in a sports context — to take the ball (or whatever) from an opponent — or to refer to the meaning, substance, or conclusion drawn from a meeting or conversation (“My takeaway from that meeting is that Stephens is overly fond of rutabaga metaphors”).
 
The North American variant on the “meal to go” sense is takeout, which dates to about 1968.
   
Newspapers.com
14 November 2008, The Daily Telegraph (London, UK), “Try this at home: the Great British ‘fakeaway,’”
If you can’t afford your favourite takeaway, make your own, ays Jasper Gerard
 
Urban Dictionary
fakeaway
an Indian or Chinese ‘takeaway’ packaged by and bought from a supermarket
A fakeaway is how one eats takeaway food when funds or a Chinese/Indian restaurant is unavaliable.
by emsalina semolina January 5, 2010