forgeyoudaoicibaDictYouDict
forge: Forge ‘make’ [13] and forge ahead [17] are two quite distinct and unrelated words in English. The former’s now common connotation of ‘faking’ is in fact a purely English development (dating from the late 14th century) in a word whose relatives in other languages (such as French forger) mean simply ‘make – especially by working heated metal’. It comes via Old French forger from Latin fabricāre ‘make’ (source also of English fabricate, which has similarly dubious connotations).

The related noun forge goes back to Latin fabrica (whence also English fabric), amongst whose specialized senses was ‘blacksmith’s workshop’. Forge ‘move powerfully’, as in forge ahead, may be an alteration of force.
=> fabric
fakeyoudaoicibaDictYouDict
of unknown origin; attested in London criminal slang as adjective (1775 "a counterfeit"), verb (1812 "to rob"), and noun (1851, "a swindle;" of persons 1888, "a swindler"), but probably older. A likely source is feague "to spruce up by artificial means," from German fegen "polish, sweep," also "to clear out, plunder" in colloquial use. "Much of our early thieves' slang is Ger. or Du., and dates from the Thirty Years' War" [Weekley]. Or it may be from Latin facere "to do." Century Dictionary notes that "thieves' slang is shifting and has no history."

The nautical word meaning "one of the windings of a cable or hawser in a coil" probably is unrelated, from Swedish veck "a fold." As a verb, "to feign, simulate" from 1941. To fake it is from 1915, jazz slang; to fake (someone) out is from 1940s, originally in sports. Related: Faked; fakes; faking. The jazz musician's fake book is attested from 1951.