My LED TV is not projecting laptop content through VGA HDMI adaptor?

I have Samsung LED TV and Lenovo G505s AMD powered laptop. I could project the laptop content through HDMI cable and i have a male - male VGA cable and VGA to HDMI cable and tried projecting via VGA port of same laptop. However, it is not detected in laptop. Kindly advice how to check cable and other things. Both are brand new

It is not clear how you have it configured. The VGA connection is an analogue signal that you will need to convert to a digital signal to pass it to an HDMI socket.

An example adapter… My LED TV is not projecting laptop content through VGA HDMI adaptor - 1

VGA is analog. HDMI is digital.
Connection is best as direct in the same signal.
G505s has both VGA and HDMI
If the TV has HDMI, you need an HDMI cable.
If the TV only has VGA, you need a VGA VGA cable
Then you need to assure signal is sent and received.
Laptop may need a change of settings to External display as often a PF key of right click on display for Properties or in Control Panel, depending on your operating system.
TV may need the input selected.

VGA is analogue HDMI is Digital. A converter would be a large black box and not a cable and not a good idea. You would also have to set the Display Properties for this new 2nd display. A laptop will not output via a VGA port until you tell it to, and its size settings will most likely be low eg 1366x768, and this size setting has nothing to do with your LCD size or your TV size. It does not auto detect a connection. Use your Blue Fn key + the appropriate F-key with the blue two screens icon on it. Eg F5( or F4 or F6 whichever your pc uses for output to vga.)

Most HDMI/VGA adapters only work if you use HDMI as the output and VGA as the input. It sounds like you are trying to do the opposite.
If your laptop only has VGA for output you will need either to buy a VGA to HDMI active converter or use one of the analog inputs on your tv (you can use a VGA to Component adapter).