Google Maps don't find any connection between those points.
https://www.rome2rio.com/ suggests taking trains to Vallorbe and then a taxi from Vallorbe to Métabief.
(Actually rome2rio suggests a taxi from the station just before Vallorbe, but it's probably going to be easier to find a taxi at Vallorbe, which is a larger station).
As noted in the comment thread under your previous question, this taxi ride is not long, but since it does cross a border, you should agree on a price with the driver before getting in.
Alternatively, if you don't want the adventure of negotiating a cross-border taxi ride fromin Francophone Switzerland, you could take a train all the way to Frasne on the French side, and then the bus from Frasne to Métabief. (You've found the timetable for this bus already).
This will probablymost likely be more expensive because you'll need the TGV from Lausanne to Frasne rather than a local Swiss train, and certainly slower. Note that the TGV requires reservation, but on the other hand you shouldn't need to worry about flight delays because the first connection you can get leaves Genève-Aéroport only at 11:32 anyway. Arriving in Frasne 13:14 you then have an hour and a half to kill before the bus towards Jougne departs at 14:49