I need to know how to take the train from Bayeux to Paris, and
can you use Saver Train pass on the TGV train?
Your heading says Paris to Bayeux, but your note says Bayeux to Paris. I'm arbitrarily picking Paris to Bayeux.
All trains from Paris to Bayeux depart from Gare Saint-Lazare. Some are direct and some require a connection in Caen. There are no TGVs on this route. The direct trains are Corail Intercites trains. If you have to connect in Caen, you'll be on a Corail train from Paris to Caen and on a regional train from Caen to Bayeux.
Eurail passes are good on any train operated by SNCF, French National Rail. Seat reservations are recommended but not required on this particular type of Corail train and they aren't possible on regional trains so you can jump on any train.
For detailed timetables go to the German Rail site. After you get summary timetables for either Paris-Bayeux or Bayeux-Paris, click on the arrow to the left of the departure time(s) or your choice to see the connecting points, if any.