Basically this could be easily done by using a BJT NPN, but since I want to control two motors(3 V, 45-60mA) and 5 LEDs was thinking of using a Bi directional level shifter instead of using transistors for each application. Could this be possible ?
No. You should not use a "level shifter" as a motor driver "instead of using transistors for each application"
Although your motors are relatively low current as such go (though may well draw more in some situations), they still require at least three times more current than what relatively high-current "logic" applications would require - and at least an order of magnitude beyond what typical modern logic needs on a steady-state basis.
Motors are motors; logic is logic. For driving motors, you should be using at least light duty power electronics rated for the anticipated loads. There are definitely IC drivers in existence with sufficient capability - but they are marketed as that, not as logic level shifters.
Ultimately, it is possible that some particular level shifting designs using discrete components might be made of parts with sufficient rating for a light duty motor-drive application - but that would be something you would determine only after a qualified review of their specific data sheets, rather than something you can guess from the "level shifter" functional description of a circuit. Further, motor drives typically incorporate protection components, such as catch diodes and suppression capacitors.
Yes, you can use a bidirectional level shifter if you want. However, unless you are receiving data back from the motor controller on the same data lines that feed the controller, there isn't much point.
Bidirectional level shifters are used when you need bidirectional communication between two or more devices that operate at different voltage levels.
It sounds as if your application is unidirectional: from microcontroller to motor controller.
For What It's Worth, one of the simplest non-inverting level shifters uses a single resistor and a single small N-channel MOSFET per line. I'll upload the schematic when I get in front of a computer.