Dear All,
we have sorted this complex issue , posting the complete solution with approach for someone with similar problem,
Extracted the error from the mailbox migration fail problem - too many transient error : 503
Step 1 : Increase the time out
E:\Program Files\Microsoft\Exchange Server\V15\ClientAccess\exchweb\ews
<!-- Mailbox Replication Proxy Service configuration -->
<MRSProxyConfiguration
DataImportTimeout="00:10:00" />
Step -2 Look for failure message in W3SVC1 Log
C:\inetpub\logs\LogFiles\W3SVC1
2021-10-21 18:22:59 ::1 POST /powershell serializationLevel=Full;ExchClientVer=15.1.2308.8;clientApplication=ManagementShell;TargetServer=;PSVersion=5.1.14393.4583&sessionID=Version_15.1_(Build_2307.8)=rJqNiZqNgaq+urunvbq5trK9p8/O0ZGX0Z6agc7Gy83PyczMycuBzc/NztLOz9LNzqvOx8XNxsXKxg==&CorrelationID=<empty>;&cafeReqId=c724d85f-feec-4ee8-8a09-a284646f77e2; 80 domain\efio365migadm ::1 Microsoft+WinRM+Client - 500 0 0 180016
2021-10-21 18:23:05 172.16.4.210 POST /EWS/mrsproxy.svc &CorrelationID=<empty>;&cafeReqId=3ad7afe0-cfed-4b05-9e00-3082df06d358; 443 domain\efio365migadm 52.98.95.21 - - 503 0 0 27
2021-10-21 18:23:15 172.16.4.210 POST /EWS/mrsproxy.svc &CorrelationID=<empty>;&cafeReqId=3200d140-3bd4-4cae-a785-fbec1b6e7555; 443 domain\efio365migadm 52.98.95.21 - - 503 0 0 28
2021-10-21 18:23:46 172.16.4.210 POST /EWS/mrsproxy.svc &CorrelationID=<empty>;&cafeReqId=e7f64c8e-ee0e-4690-a799-18feebfb560b; 443 domain\efio365migadm 52.98.95.21 - - 503 0 0 29
2021-10-21 18:23:56 172.16.4.210 POST /EWS/mrsproxy.svc &CorrelationID=<empty>;&cafeReqId=f1023422-053b-4912-9b87-e22603db7360; 443 domain\efio365migadm 52.98.95.21 - - 503 0 0 27
2021-10-21 18:24:06 172.16.4.210 POST /EWS/mrsproxy.svc &CorrelationID=<empty>;&cafeReqId=6e3e0858-be44-4389-992e-c485e4bbc108; 443 domain\efio365migadm 52.98.95.21 - - 200 0 0 47
2021-10-21 18:
Step3 -Track the same error in below using the cafeid
E:\Program Files\Microsoft\Exchange Server\V15\Logging\HttpProxy\Ews
2021-10-21T18:23:46.142Z,e7f64c8e-ee0e-4690-a799-18feebfb560b,15,1,2308,8,,Ews,mail.<domain>.ae,/EWS/mrsproxy.svc,,Negotiate,true,domain\efio365migadm,,DatabaseGuid~595027c7-37e9-4ada-b723-e4c166e1617d,,52.98.95.21,UAEDXBEFIMBX01,503,NameResolutionFailure,NameResolutionFailure,POST,Proxy,uaeauhpenmbx01.<domain>.ae,15.01.1034.000,IntraForest,TargetDatabase-GUID,,UAEAUHNHGMBX01,0,651,,,,0,10,0;,0,,0,4;2;2;,8,8,,0,12,0,,,,,,,,0,0,12,0,,12,,12,12,,,,BeginRequest=2021-10-21T18:23:46.129Z;CorrelationID=<empty>;ProxyState-Run=None;ServerLocatorCall=DM:595027c7-37e9-4ada-b723-e4c166e1617d~~;ClientAccessServer=UAEAUHPENMBX01.<domain>.ae;ResolveCasLatency=0;FEAuth=BEVersion-1942062090;RoutingEntry=DatabaseGuid:595027c7-37e9-4ada-b723-e4c166e1617d%40<domain>.ae%40<domain>.ae Server:UAEAUHNHGMBX01.<domain>.ae+1937997947@0;BeginGetRequestStream=2021-10-21T18:23:46.141Z;OnRequestStreamReady=2021-10-21T18:23:46.142Z;InvalidatingBackEndServerCache=595027c7-37e9-4ada-b723-e4c166e1617d;ProxyState-Complete=ProxyRequestData;SharedCacheGuard=0;EndRequest=2021-10-21T18:23:46.142Z;S:ServiceCommonMetadata.Cookie=01e67b7474fe403c8f6b7b60b5aff825;I32:ATE.C[UAEDXBNHGDOC01.<domain>.ae]=3;F:ATE.AL[UAEDXBNHGDOC01.<domain>.ae]=0;I32:ADS.C[UAEDXBNHGDOC01]=1;F:ADS.AL[UAEDXBNHGDOC01]=3.0098;I32:ADR.C[UAEDXBNHGDOC01]=2;F:ADR.AL[UAEDXBNHGDOC01]=1.98075,WebExceptionStatus=NameResolutionFailure;WebException=System.Net.WebException: The remote name could not be resolved: 'uaeauhpenmbx01.<domain>.ae' at System.Net.HttpWebRequest.EndGetRequestStream(IAsyncResult asyncResult TransportContext& context) at System.Net.HttpWebRequest.EndGetRequestStream(IAsyncResult asyncResult) at Microsoft.Exchange.HttpProxy.ProxyRequestHandler.<>c__DisplayClass198_0.<OnRequestStreamReady>b__0();SharedCache=MailboxServerCacheEntryRemovalFailure;SharedCache=AMCacheRemovalFailure;,,|RoutingDB:595027c7-37e9-4ada-b723-e4c166e1617d,,,CafeV1
2021-10-21T18:23:56.140Z,f1023422-053b-4912-9b87-
Find the CAS Access Servers in the same site and remove it out of service
Set-ClientAccessServer -Identity UAEAUHPENMBX01 -IsOutOfService $true
In summary if was going to Exchange cas server that did not exist .
I hope some one else would find it useful,
regards - Hasan Reza