What about changing the parking requirements to be vehicle agnostic? Require construction projects to have parking for X people, rather than X cars, and consider the requirement met if it’s a mix of bicycle parking, cargo bicycle parking, and car parking.
this is already how most parking mandates work (they're not for X amount of cars, they're obliged to have a set ratio of parking spaces to people), and changing it in this manner would almost certainly lead to no change because Los Angeles is extremely car-dependent and sprawling, and bicycling is only useful with actual pro-bike infrastructure which largely doesn't exist.