For Tier-1/Tier-0 gateways in active-active mode 'get logical-router <uuid> forwarding' will show two default routes in the forwarding table with gateway pointing to both edges. This KB provides steps to identify correct edge node used for a particular flow from a specific host.
VMware NSX-T Data Center
VMware NSX
esx.example.local> get logical-router 2214affb-2693-4583-9d85-bd5fda6d73eb forwarding
Wed May 22 2024 UTC 08:02:12.113
Logical Routers Forwarding Table
--------------------------------------------------------------------------------------------------------------
Flags Legend: [U: Up], [G: Gateway], [C: Connected], [I: Interface]
[H: Host], [R: Reject], [B: Blackhole], [F: Soft Flush], [E: ECMP]
Network Gateway Type Interface UUID
==============================================================================================================
0.0.0.0/0 169.x.x.x UGE 348953c8-120e-43c9-be05-88edcf7b83a6
0.0.0.0/0 169.x.x.x UGE 348953c8-120e-43c9-be05-88edcf7b83a6
[root@esx:~] net-vdr -R -o resolve -e 172.x.x.x -i 8.8.8.88 2214affb-2693-4583-9d85-bd5fda6d73eb
DR 2214affb-2693-4583-9d85-bd5fda6d73eb Route Table
Legend: [U: Up], [G: Gateway], [C: Connected], [I: Interface]
Legend: [H: Host], [B: Blackhole], [F: Soft Flush] [!: Reject] [E: ECMP]
Destination GenMask Gateway Flags Ref Origin UpTime HitCount Lif UUID
----------- ------- ------- ----- --- ------ ------ -------- ---------
0.0.0.0 0.0.0.0 169.254.0.2 UGE 3 618619 113224 348953c8-120e-43c9-be05-88edcf7b83a6
[root@esx:~]
Return path for traffic originating from outside NSX and entering NSX edge will be determined by uplink ToR switch.