Flights are on Azerbaijan airlines with short stops in Baku.
NYC-TLV has a 2:35 stopover time. TLV-NYC has a 2:00 stopover.
Azerbaijan flies a 787 from NYC to Baku and back and a a320 from Baku to TLV and back.
Sample dates:
4/24-5/7
5/3-5/15
Many more dates that work.
Search using ITA.
Ounce you found the dates that work for you, you can try to find an OTA to book or contact a travel agent such as myself for free peace of mind at no additional cost.