As Simple, enter route on switch derection to management vlan like:
Managment VLAN ip is 192.168.0.254/24
add route
Vlan-1 192.168.0.0 255.255.255.0 192.168.0.254
Vlan-2 192.168.1.0 255.255.255.0 192.168.0.254
Vlan-3 192.168.2.0 255.255.255.0 192.168...
