How can I inject this default route in EIGRP
ip route 0.0.0.0 0.0.0.0 10.0.0.254
"default-information" command in EIGRP will not originate a default route as like OSPF. It works a bit different.
It instructs the router to accept/advertise the default candidate network. (Hope you remember IGRP doesnt advertise 0.0.0.0 network and so we use ip default-network command)
Say you have the below tpology,
In R2, if you configure "ip default-network 22.214.171.124" command.
126.96.36.199 network will be marked as default candidate network in R1 as below,
Now configure "no default-information in" in R1, clear the EIGRP neighbor and check the table. 188.8.131.52 will not be marked as default candidate network.