Consequence of Plants as Incomplete Protein Source
With a few exceptions among some bacteria, all species on the planet make protein from the same 21 amino acids, and the relative abundances of amino acids is very similar in proteins from plants, animals, fungi and even prokaryotes. See for example this article (available as PDF here). So protein from pretty much any food provides the same amino acids.

The idea that plant proteins are "incomplete" and lack some amino acids seems to be a myth: see for example this correspondence in the American Heart Association's journal Circulation. Plants generally contain less protein than meats per weight, but there is nothing wrong with the protein they contain. Most people in the world obtain the majority of their protein from plants. There are probably some specific parts of some plants that are not nutritionally optimal --- if you for example lived exclusively on peanuts for a year, you might experience some problems ... But any commonsense, varied plant diet will provide all amino acids. A detailed report (and some mythbusting) is here.

Regarding essential amino acids, as mentioned in comments this is a species-specific concept. Humans and most animals can synthesize about half of the 21 amino acids, while the remaining are essential. There are some species differences --- arginine is essential for cats, for example, but not for adult humans. In contrast, plants can synthesize all amino acids. But their protein composition is similar in the end.