Late Night shows are off by a day

Is there a way to “fix” how tvdb records the date for late night shows?
For example, both “Late Night with Seth Meyers” and “A Little Late with Lilly Singh” both air after midnight EST, so the ‘Monday’ episode airs early on Tuesday. However, since the date in the episode is Monday, Sonarr thinks that the episode is missing from disk for a whole day before downloads are actually available.
The solution (I think) would be to somehow mark the shows so that skyhook adjusts the actual date/time without changing the title, as changing the date in thetvdb would make sonarr grab the wrong episodes.