I have a few MSP430G2553 ICs. Can TIVA C board (EK-TM4C123GXL) used to program the ICs as I need to buy it for a online class I am about to take ???? If yes, please specify the method to be followed.
The TIVA C is an entirely different architecture from the MSP430, and as such it's programmer cannot be used to program an MSP430.
TI has a nice list of all official MSP430 Flash Emulation Tools (aka programmers+debuggers) on pg. 11 of their MSP430 Hardware tools user's guide. It shows very explicitly which launchpads and FETs support certain MSP430s. I highly recommend using this table to decide on your purchase.
If you don't care too much about whether the programmer is "official", a nice alternative is the GoodFET, though it seems to be a little less plug and play.
It cant "easily" be used to program the msp430. Yes you could wire up the tiva board to an msp430 part and write some sofwtare to program the part using the serial/jtag interface. but it would make no sense to do such a thing when you can just get one of the msp430 launchpad boards and use that as a general purpose msp430 programmer.