Reducing current draw on using CMOS logic gates

Sorry but you can’t tell much from that, it is quite a lot of a mess. When doing schematics of logic circuits you normally show the gates and any logic circuits as blocks with labled and numbered connections. The positioning of the connections on these blocks is done to minimise the number of wire crossing. What you have posted is just as useless as a Fritzing diagram.

The output LEDs do not show anything connecting to the cathodes, and what is that circle in the anodes denoting? Also you seem to hav no decoupling capacitors at all.

Basically I think you wired something wrong. I hope you are not doing any wiring with the power on.

Did you do it all at once and then applied the power? If so build up your circuit one part at a time and check it works before proceeding.