Randomly in one of my project, for issues in Bug category, they are not striked trought in the sprint backlog or in the backlog and I do not see the check mark + Done in my bug. Can someone help me with that ?
Welcome to Atlassian Community!
The checkmark and the Done is controlled by the resolution field. You have to check that the transition that moves your bugs to the Done status has a post function that sets the resolution, or have a screen with the resolution on it that allows the user to pick the resolution when doing the transition. You can find the best practices for that field here.
For existing bugs you can set the resolution by running an automation that sets it, something like this:
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