Hi @Bachar HAJJAR ,
According to my research and testing, unfortunately, we cannot migrate SharePoint List Items between specified date. As you said, SharePoint Migration Tool only can filter "Migrate files created after"/ "Migrate files modified after" . I also try to use JSON, but per my test, it is not possible. Currently there is no way to achieve it.
I suggest you can propose a feedback on this issue. Many features of our current products are designed and upgraded based on customers’ feedback. With requirements like this increase, the problem may well be released in the future. Thanks for your understanding.
feedback:
https://feedbackportal.microsoft.com/feedback/
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