Hi@emerging
Q1:Here we have so many mux values are available, so on what basis we select its value. In this figure i can see that 12 containers are created inside main container 'LCU Logic Input'(highlighted part), so do you have 12 inputs and created one container for each input? If so, on what basis we are selecting 'Mux Select' for each inputs?

You can see each LCU instance have three hardware logic cell which is :
LCU_IP_HW_LC_0, LCU_IP_HW_LC_1 and LCU_IP_HW_LC_3
each hardware logic have 4 input choice
For Mux Select:
LCU_IP_HW_LC_0 can choose :
LCU_IP_MUX_SEL_LU_IN_0 ~ LCU_IP_MUX_SEL_LU_IN_3
LCU_IP_HW_LC_1 ->
LCU_IP_MUX_SEL_LU_IN_4 ~ LCU_IP_MUX_SEL_LU_IN_7
LCU_IP_HW_LC_2 ->
LCU_IP_MUX_SEL_LU_IN_8 ~ LCU_IP_MUX_SEL_LU_IN_11
Q2:In my application, input one and two coming from trigmux LCU0_LC0_SEL0 and LCU0_LC0_SEL1 so what value of mux i can select for input one and two?
You should use TRGMUX module to select input source for LCU0_LC0_SEL0 and LCU0_LC0_SEL1.
("Hardware Input" depend on your needs and application.)
For example,Here i config LCU0_LC0_SEL0 and LCU0_LC0_SEL1 are both choose
TRGMUX_INPUT_LOGIC0_VSS as input source.

Q3.Lcu_Ip_LcuControlMotor_S32K344 Where i can find the input details or schematic for this application. If the input and output connections are available then its better to understand the configuration easily
This routine didn't add TRGMUX but only software way to control LCU input and output.
Regarding TRGMUX connect map, you can find it in our S32K3XXRM's attachments.