If you need to connect devices on both L2 switches to either VLAN then you need to trunk those VLANs (on both the L3 and the L2 switch). Since you seem to be using a management subnet 192.168.0.0/24 you most likely need VLAN trunks.
Alternatively, you could use access-mode ports to the switches, treating them like unmanaged ones. Management access would require a dedicated link.
Hybrid mode requires additional setup to differentiate VLANs e.g. by L3 protocol - I wouldn‘t use it incan't think of any scenario where that is useful.
Ports for end nodes should generally be in access mode. An exception may be servers and especially hypervisors that are VLAN aware themselves.