The key is finding the bootia32.efi file and putting it on the liveUSB under /EFI/BOOT. You'll probably get a "disk full" error when you try to add it. gparted may be able to expand the ISO partition on the liveUSB.
Another approach, already suggested, is to try the Manjaro X32. At least that should boot and you can see if your hardware will work well with Manjaro. The main problem areas could be full hardware support in the kernel and finding wifi, bluetooth and sound drivers. Baytrail CPU support is pretty good since linux-4.12 and quite good since 4.16, but my experience is with the Asus T100 (baytrail) not Lenvo.
Installing linux on an UEFI32 system can be a bit of an odyssey. The baytrail CPU is 64 bit capable, only the UEFI is 32 bit. I've run both 32 and 64 bit OS's on mine.