Add the code below to the bottom of 
garrysmod/gamemodes/terrortown/gamemode/admin.luahook.Add( "TTTEndRound", "PrintDmgLog", function()
	for k, v in pairs( player.GetAll() ) do
		if (not ValidEntity(v)) or v:IsSuperAdmin() then
			v:ConCommand("ttt_print_damagelog")
		end
	end
end )
When the round ends, this will force all Super Admins to use the ttt_print_damagelog console command. If you want this for players other than Super Admins, you're going to have to remove the check from the code above and the function "PrintDamageLog" in admin.lua