Having seen the supplemental track access request, it appears that Abellio East Midlands Railway intend to run the following from the December 2020 timetable change:
2 Leicester - Cleethorpes via Nottingham and Lincoln Mondays - Fridays, 1 on Saturdays
6 Leicester - Grimsby Town via Nottingham and Lincoln Mondays - Fridays, 1 on Saturdays
1 Newark North Gate - Cleethorpes via Lincoln and Market Rasen, Saturdays only (the existing 1 weekday and 2 summer Sunday paths are withdrawn - these are replaced by other services)
The current Newark North Gate - Grimsby Town via Lincoln and Market Rasen service is withdrawn. There are currently 4 on weekdays, 3 on Saturdays
3 Nottingham - Cleethorpes via Newark Castle, Lincoln and Market Rasen on Sundays. This replaces the 1 train on summer Sundays only.
1 Nottingham - Grimsby Town via Lincoln on Mondays - Fridays
1 Cleethorpes - Leicester via Lincoln and Nottingham on Saturdays
2 Cleethorpes - Lincoln via Market Rasen on Mondays - Fridays, with 1 on Saturdays and Sundays. This is up from the present 1 on Mondays - Fridays only.
The current 1 Cleethorpes - Newark North Gate via Market Rasen and Lincoln Mondays - Fridays and 2 on Sundays service is withdrawn.
1 Cleethorpes - Nottingham via Market Rasen, Lincoln, Newark North Gate and Newark Castle on Mondays - Saturdays, 2 on Sundays. This is up from the present 1 on winter Sundays only
8 Grimsby Town - Leicester via Lincoln and Nottingham Mondays - Fridays, 4 Saturdays
The current 6 Grimsby Town - Newark North Gate via Market Rasen and Lincoln Mondays - Saturdays services are withdrawn
The current 1 Grimsby Town - Lincoln via Market Rasen Saturday only service is withdrawn
1 Lincoln - Cleethorpes via Grimsby Town Mondays - Saturdays
1 Lincoln - Grimsby Town via Market Rasen, Mondays - Fridays only. Down from 2 Mondays - Fridays, 4 Saturdays
On the core section from Grimsby - Lincoln, that appears to give 11 services Monday - Friday, 7 on Saturdays and 3 on Sundays throughout the year.
All services are to be timed for class 156s.
All of this is subject to change.