Note: I don't quite completely understand your question and would appreciate if you added some reference text to further elucidate your question (which may help me to correct my answer as well, if required)Previously included irrelevant information has been deleted. Formatting edits have been done.
We are very much aware of intrinsic motives. For example: Hunger- Going without food for a long time makes us hungry, a state we are aware of, and we consume food. The act of consuming food when hungry is intrinsically motivated, and emerges from within us, without the effect of any external agent. However, Ryan and Deci's self-determination theory (SDT) did not mention (as far as I know) intrinsic motives as being connected to a physiological need. SDT's intrinsic motives were connected to psychological needs, in doing activities which were enjoyable in themselves, unconnected to an external reward.
As you have mentioned, we are also aware of our extrinsic motives, for example, motivation to work a 9-to-5 job to earn money to buy food which satiates hunger, a primary need.
EDIT:
OP has provided further details in the comments, on the basis of which I am editing my answer.
I checked out the book and Google translated the paragraph in which it appears. My interpretation is that since extrinsically motivated activities are oriented towards an external goal and since "goals are cognitive
representations of what individuals are trying to accomplish and their purposes
or reasons for doing the task" (3), hence the authors are stating that extrinsic motives have cognitive representations.
Having said that, here's whatMy conflict is bugging me about my interpretation. Grantedthat granted, extrinsic motivation is goal-oriented. But but isn't intrinsic motivation also goal-oriented? For example, mastery in a task if often considered to be intrinsically motivated. Does that not mean the mastery=goal? As you will see from the table of motivational terms in (4) (see Garcia and Pintrich,1996 1996 in the table), intrinsic motives are also goals, according to many behavioural scientists. That would make intrinsic motives to also be cognitively represented.
In conclusion, I unfortunately don't understand why only extrinsic motives have been given a cognitive representation and not intrinsic motives, in the text.
I highly recommend you to go through (3) and (4), since this seems to be a matter of confusion regarding how motivational constructs are defined. There has been considerable debate regarding the definitions of motivational constructs and what concepts they encompass. The quoted line in the question seems to be a result of this very dilemma.