Amit
I took a quick look at the project in DMA-TEST-DMAT.zip.
My feeling is that the DMA is essentially set up correctly but I think that the UART is not configured for DMA operation - looking at the register UART4_C2 the receiver and transmitter have been enabled (0x0c) but there is no setup to trigger DMA transfers.To enable a peripheral DMA transfer to be triggered on reception the bit 0x20 must be set - for transmission bit 0x80.
It looks like the rx/tx are enabled using
UART_PDD_EnableTransmitter(UART4_BASE_PTR, PDD_ENABLE); /* Enable transmitter */
UART_PDD_EnableReceiver(UART4_BASE_PTR, PDD_ENABLE); /* Enable receiver */
so I think that you will need to eithert work out how to tell PE to "also" enable DMA at the UART (perhaps you forgot to tell it (?)) or else manipulate it by adding whatever calls are needed to do it later in your user code.
If your K20 project worked check which calls were used there and maybe you can work out why they are missing in this configuration.
Regards
Mark
µTasker Kinetis support