gmail authentication problems

I can sign in with a normal browser but get authentication errors when accessing and attempting to use my email accounts with eM client.  It constantly asks me to reenter the passwords.

9:22:21 PM Online state: changed to online with reason NetworkAvailability
9:22:24 PM tysontampa@gmail.com [IMAP]  Synchronizing subfolders: For folder tysontampa@gmail.com/
9:22:25 PM tysontampa@gmail.com [GData]  Synchronizing folder list
9:22:26 PM techsolutionfl@gmail.com [IMAP]  Synchronizing subfolders: For folder techsolutionfl@gmail.com/
9:22:26 PM techsolutionfl@gmail.com [GData]  Synchronizing folder list
9:22:26 PM techtyson@hotmail.com [AirSync]  Synchronizing folder list
9:22:26 PM stemcelltreatments@gmail.com [IMAP]  Synchronizing subfolders: For folder stemcelltreatments@gmail.com/
9:22:26 PM stemcelltreatments@gmail.com [GData]  Synchronizing folder list
9:22:26 PM techtysontampa@gmail.com [IMAP]  Synchronizing subfolders: For folder techtysontampa@gmail.com/
9:22:26 PM techtysontampa@gmail.com [GData]  Synchronizing folder list
9:22:26 PM tysoninmiami@gmail.com [IMAP]  Synchronizing subfolders: For folder tysoninmiami@gmail.com/
9:22:26 PM tysoninmiami@gmail.com [GData]  Synchronizing folder list
9:22:26 PM smokinpipesclearwater@gmail.com [IMAP]  Synchronizing subfolders: For folder smokinpipesclearwater@gmail.com/
9:22:26 PM smokinpipesclearwater@gmail.com [GData]  Synchronizing folder list
9:22:26 PM stemcelltreatments@gmail.com [IMAP]  MailExceptions.LoginException: Please log in via your web browser: http://support.google.com/mail/accounts/bin/answer.py?answer=78754 (Failure)
9:22:26 PM    at MailClient.Imap.ConnectionPoolEntry.Reconnect()
9:22:26 PM    at MailClient.Imap.ConnectionPoolEntry.Connect()
9:22:26 PM    at MailClient.Imap.ConnectionPool.AcquireConnection(Folder mailFolder, Boolean idle, Boolean forStore)
9:22:26 PM    at MailClient.Imap.ConnectionContext…ctor(ImapAccount account)
9:22:26 PM    at MailClient.Imap.Synchronizer.SynchronizeFoldersCommand.ExecuteInternal(WorkerStatus status)
9:22:26 PM    at MailClient.Imap.Synchronizer.ImapCommand.Execute(WorkerStatus status)
9:22:26 PM    at MailClient.Commands.Command.Process(WorkerStatus status)
9:22:27 PM techsolutionfl@gmail.com [IMAP]  Synchronizing subfolders: Done
9:22:27 PM techsolutionfl@gmail.com [IMAP]  Synchronizing subfolders: For folder techsolutionfl@gmail.com/Inbox
9:22:27 PM techsolutionfl@gmail.com [GData]  Synchronizing folder list
9:22:27 PM techsolutionfl@gmail.com [IMAP]  Synchronizing subfolders: Done
9:22:27 PM techsolutionfl@gmail.com [IMAP]  Synchronizing subfolders: For folder techsolutionfl@gmail.com/[Gmail]
9:22:27 PM smokinpipesclearwater@gmail.com [GData]  Synchronizing folder list
9:22:27 PM techsolutionfl@gmail.com [IMAP]  Synchronizing subfolders: Done
9:22:27 PM techsolutionfl@gmail.com [IMAP]  Synchronizing messages: For folder techsolutionfl@gmail.com/Inbox
9:22:27 PM smokinpipesclearwater@gmail.com [IMAP]  Synchronizing subfolders: Done
9:22:27 PM smokinpipesclearwater@gmail.com [IMAP]  Synchronizing subfolders: For folder smokinpipesclearwater@gmail.com/Inbox
9:22:27 PM smokinpipesclearwater@gmail.com [IMAP]  Synchronizing subfolders: Done
9:22:27 PM smokinpipesclearwater@gmail.com [IMAP]  Synchronizing subfolders: For folder smokinpipesclearwater@gmail.com/[Gmail]
9:22:28 PM smokinpipesclearwater@gmail.com [IMAP]  Synchronizing subfolders: Done
9:22:28 PM smokinpipesclearwater@gmail.com [IMAP]  Synchronizing messages: For folder smokinpipesclearwater@gmail.com/Inbox
9:22:28 PM techsolutionfl@gmail.com [IMAP]  Synchronizing messages: For folder techsolutionfl@gmail.com/Inbox
9:22:28 PM smokinpipesclearwater@gmail.com [IMAP]  Synchronizing messages: Done
9:22:28 PM techsolutionfl@gmail.com [IMAP]  Synchronizing messages: Done
9:22:28 PM techsolutionfl@gmail.com [GData]  Synchronizing folder list
9:22:28 PM smokinpipesclearwater@gmail.com [GData]  Synchronizing folder list
9:22:29 PM techsolutionfl@gmail.com [GData]  Synchronizing folder list
9:22:29 PM smokinpipesclearwater@gmail.com [GData]  Synchronizing folder list
9:22:29 PM smokinpipesclearwater@gmail.com [GData]  Synchronizing folder list
9:22:29 PM smokinpipesclearwater@gmail.com [GData]  Synchronizing folder list
9:22:29 PM techsolutionfl@gmail.com [GData]  Synchronizing folder list
9:22:29 PM smokinpipesclearwater@gmail.com [GData]  Synchronizing folder ‘smokinpipesclearwater@gmail.com/Contacts/’
9:22:29 PM techsolutionfl@gmail.com [GData]  Synchronizing folder list
9:22:29 PM techsolutionfl@gmail.com [GData]  Synchronizing folder ‘techsolutionfl@gmail.com/Contacts/’
9:22:29 PM techtyson@hotmail.com [AirSync]  Synchronizing folder list
9:22:30 PM techsolutionfl@gmail.com [GData]  Synchronizing folder ‘techsolutionfl@gmail.com/techsolutionfl@gmail.com/’

Hi Tyson, are you seeing an “Authentication failed” error when being prompted for your password?
Can you please try to go to https://www.google.com/settings/security/lesssecureapps and enable access for “less secure apps” and check if the issue persists?

Hope this helps,
Paul.