Can cognitive science improve psychology? I was wondering what your guys thoughts were about cognitive science making unique contributions to improve the methodological and theoretical foundations of psychology?

Can it make unique contributions?
Will it ever be able to replace psychology?
What about the replication crisis of psychology? Does this have an impact on the reputation of cognitive science?

Looking forward to hearing your thoughts.
Answering this question is very difficult without first agreeing what "cognitive science" is (a problem for this very site!). Unlike another answer here, to me, cognitive science is not necessarily about neuroscience methods (that would be cognitive neuroscience). Instead, cognitive science is an interdisciplinary hodgepodge of people doing empirical psychology, computer science, linguistics and philosophy of mind. And I say this as a member of the Cognitive Science Society. Although neuroscience is often involved, cognitive science is much older and historically linked to computing, AI and the cognitive revolution.

It certainly has made, and will continue to make, unique contributions to psychology. One can argue about the overlap between cognitive psychology and cognitive science (to me it is considerable), but theories of information processing from computing, computational models, linguistic theory and many other examples can make more precise predictions which people can verify with empirical data (these people are normally psychologists). This improves psychology which has sometimes suffered from being too vague ("boxology").

Because I see CS as an umbrella including psychology, I don't think it makes sense to think of it "replacing" psychology.

Because CS has often included people doing empirical experiments on human behaviour, the replication crisis certainly has implications (though it may be buffered by it's emphasis on theory). Cognitive psychologists are certainly guilty sometimes, though much of the soul-searching on replications, p-hacking etc comes from experimental social psychology.