"Unlock Engineering"

I suspect you've not been looking in the right place... There is a section in F1 World called 'Goals' and I bet if you look there you'll see an 'Unlock Engineering' goal to complete.

I don't think the parts you're using is relevant. It may just be that you need to race more before the goal will appear. 

What tech level are you out of interest? The max is 1000 I believe so this will be some sort of guide as to how far through you are.

I just found this:

https://racinggames.gg/f1/f1-23-how-to-unlock-engineering-in-f1-world/

I've just unlocked this myself without issues and it clearly should have for you by now. I had exactly one rare part equiped when it worked for me in case this was relevent. Do you happen to generally not close the game and leave your console in rest mode? It might be worth trying closing the game (via Options button over game icon on PS5 home screen) and then restarting it if you do. Sometimes this does fix this type of thing.

Product: F1 23
Platform: XBOX 
Please specify your platform model. S
Summarize your bug The Goal "Unlock Engineering" cannot be selected. My car is full of legendary parts and should unlock. Tried uninstall, restart and reinstall, but no difference detected.
What is your 16 digit Report Code?
Can you please provide the name of your current internet service provider? Telia
Which area is the bug/glitch in? F1 world
Did you have cross-play enabled? No
Steps: How can we find the bug ourselves? try f1 world, and go to goals.
What happens when the bug occurs? Can't unlock the goal
What do you expect to see? The goal engineering unlocked

Same problem on PS4.

Is this a similar progression blocker to the one described in this report https://answers.ea.com/t5/Technical-Issues-Bug-Reports/F1-World-Goals-permanently-disabled/m-p/12669001/highlight/true#M2230?

Progression not counting towards to unlocking features, or erroneously locking functions of F1 World.