You have mods on your client that are missing on the server: https://mclo.gs/nowsU5F#L362
Install those mods on your server or remove the extra mods from your client.
Thank you so much!! It's all up and running now! 
Posts by Stocious
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Hi, I've recently tried moving my server to a new PC as I've upgraded my system. I can finally get mods for my game and so I decided to try adding those mods to my server. All of my mods work fine in singleplayer worlds, but unfortunately, whenever I try to enter the server I get the mismatched mod channel list error. I've never tried modding on Aternos so I'm a little confused here. Below I've attatched a screenshot of both my local mod folder and the Aternos mod folder.
This is my log file:
If anyone has any idea what I've done wrong, help would be greatly appreciated!!