Your sentence is mostly clear, but I will help fix a few small grammar details to make it perfect.
Original sentence: In spring, when the snow melts away, it is the capercaillie’s lekking time. Male birds fan their tails and make bizarre sounds from coughs to funy cork-popping noises.
Corrected sentence: In spring, when the snow melts away, it is the capercaillies' lekking time. Male birds fan their tails and make bizarre sounds, from coughs to funny cork-popping noises.
Explanation:
- Because we talk about more than one capercaillie, use capercaillies' (plural possessive) instead of capercaillie’s.
- Add a comma after sounds to separate the list of sounds properly.
- Fix the spelling of funy to funny.
So, the sentence means: In spring, when the snow melts, male capercaillie birds come together to show off. They spread their tail feathers and make different strange sounds like coughs and popping noises that sound funny.