Making this work has some dependence on the other side of the topology. What does B and C connect to on the other side? Is it also running EIGRP that is under your administration. My initial thought is an offset-list but more info is needed about the full topology. The outbound from A is easy enough using an offset-list. But the inbound to A is more dependent on what and how you advertise to the other side of the link. You need to be able to tell the other side of the topology that one path is preferred to the other path.
It would also be good to know the purpose behind this requirement. There may be other solutions.
Definately it is possible. Try playing around with bandwidth or delay.
Simplest will be reduce the bandwidth of the outgoing traffic on interface which you don't want to send traffic through.
Like in your example, if i'm not wrong what i understand is you want traffic for outgoing connection to flow to A-B link and incoming to use A-C link.
For outgoing traffic, reduce the bandwidth of interface which connects A-C link on router A or increase Bandwidth on outgoing interface of A-B link on router A. This way A-B link will have better metric and that route will be used.
Similary for incoming traffic, bandwidth should be reduced or increased accordingly at Router C or Router B respectively.
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