First of all, please make sure that the metric of the contest in question is set up on your profile.
Occasionally, people join, for example, Distance contests and expect their Steps to be displayed in their results.
Steps and Distance are two different metrics.
Secondly, please make sure that the manual log for this contest is not forbidden by the contest's creator or your platform admins:
If Steps 1 and 2 are correct, and if you see your data is updated on your profile but not on your challenge's page, please do not worry. There might be a time lag between your individual stats and contest results update. Your data will be synced, updated, and displayed correctly in a couple of minutes.
However, if your data has not been updating on both your profile and on your contest's results, there might be an issue with your device or app.