Store lines in separate containers depending on whether they need to move south or remain in place. Then when all lines have been looked at this way, print them in the desired order.
$ perl -ne 'push @{/_00[2468]$/ ? \@A : \@B}, $_}{print @B, @A' input.txt
You can do this with posix sed also:
$ sed -ne '
/_00[2468]$/ s//&/w data2468
//!p
$r data2468
' input.txt