That model is even sold out on Bachmann's own store page.
Looks like you need a medium length, center-shank coupler. You can try using a Kadee HO 'Standard head' Whisker coupler, some of my cars have those and work well with my Bachmann E-Z Mates.
Edit: I just realized that model is for the original E-Z Mate line, they've been replaced with the E-Z Mate Mark II.
Look up Bachmann part number 78025, that appears to be in stock at several sites.
Looks like you need a medium length, center-shank coupler. You can try using a Kadee HO 'Standard head' Whisker coupler, some of my cars have those and work well with my Bachmann E-Z Mates.
Edit: I just realized that model is for the original E-Z Mate line, they've been replaced with the E-Z Mate Mark II.
Look up Bachmann part number 78025, that appears to be in stock at several sites.