After installation was done everything worked fine till I did a sudo apt-get update && apt-get upgrade -y. My wireless interfaces does show up under lsusb and lspci and dmesg only shows error for Bluetooth.

The installation is a live OS not VM or USB.
LAN works perfectly fine.
Using a Broadcom Limited BCM4313 802.11bgn Wireless Network Adapter (rev 01) and an External Edimax Dualband AC USB dongle which works on my Raspberri Pi K.Linux.

Here is the results of LSUSB/LSPCI, dmesg | tail, rfkill list

LSUSB:
Bus 002 Device 003: ID 05ca:1823 Ricoh Co., Ltd
Bus 002 Device 002: ID 8087:0024 Intel Corp. Integrated Rate Matching Hub
Bus 002 Device 001: ID 1d6b:0002 Linux Foundation 2.0 root hub
Bus 001 Device 005: ID 147e:1002 Upek Biometric Touchchip/Touchstrip Fingerprint Sensor
Bus 001 Device 007: ID 0a5c:21f4 Broadcom Corp.
Bus 001 Device 006: ID 7392:a812 Edimax Technology Co., Ltd
Bus 001 Device 002: ID 8087:0024 Intel Corp. Integrated Rate Matching Hub
Bus 001 Device 001: ID 1d6b:0002 Linux Foundation 2.0 root hub
Bus 004 Device 001: ID 1d6b:0003 Linux Foundation 3.0 root hub
Bus 003 Device 002: ID 24ae:1100
Bus 003 Device 001: ID 1d6b:0002 Linux Foundation 2.0 root hub


LSPCI:
00:00.0 Host bridge: Intel Corporation 3rd Gen Core processor DRAM Controller (rev 09)
00:02.0 VGA compatible controller: Intel Corporation 3rd Gen Core processor Graphics Controller (rev 09)
00:14.0 USB controller: Intel Corporation 7 Series/C210 Series Chipset Family USB xHCI Host Controller (rev 04)
00:16.0 Communication controller: Intel Corporation 7 Series/C216 Chipset Family MEI Controller #1 (rev 04)
00:1a.0 USB controller: Intel Corporation 7 Series/C216 Chipset Family USB Enhanced Host Controller #2 (rev 04)
00:1b.0 Audio device: Intel Corporation 7 Series/C216 Chipset Family High Definition Audio Controller (rev 04)
00:1c.0 PCI bridge: Intel Corporation 7 Series/C216 Chipset Family PCI Express Root Port 1 (rev c4)
00:1c.1 PCI bridge: Intel Corporation 7 Series/C210 Series Chipset Family PCI Express Root Port 2 (rev c4)
00:1c.2 PCI bridge: Intel Corporation 7 Series/C210 Series Chipset Family PCI Express Root Port 3 (rev c4)
00:1c.3 PCI bridge: Intel Corporation 7 Series/C216 Chipset Family PCI Express Root Port 4 (rev c4)
00:1d.0 USB controller: Intel Corporation 7 Series/C216 Chipset Family USB Enhanced Host Controller #1 (rev 04)
00:1f.0 ISA bridge: Intel Corporation HM77 Express Chipset LPC Controller (rev 04)
00:1f.2 SATA controller: Intel Corporation 7 Series Chipset Family 6-port SATA Controller [AHCI mode] (rev 04)
00:1f.3 SMBus: Intel Corporation 7 Series/C216 Chipset Family SMBus Controller (rev 04)
02:00.0 Unassigned class [ff00]: Realtek Semiconductor Co., Ltd. RTS5229 PCI Express Card Reader (rev 01)
03:00.0 Network controller: Broadcom Limited BCM4313 802.11bgn Wireless Network Adapter (rev 01)
0c:00.0 Ethernet controller: Realtek Semiconductor Co., Ltd. RTL8111/8168/8411 PCI Express Gigabit Ethernet Controller (rev 07)

dmesg | tail
[ 156.771006] Bluetooth: hci0: nullvoid
[ 156.772006] Bluetooth: hci0: BCM20702A1 (001.002.014) build 0000
[ 156.772026] bluetooth hci0: firmware: failed to load brcm/BCM20702A1-0a5c-21f4.hcd (-2)
[ 156.772031] bluetooth hci0: Direct firmware load for brcm/BCM20702A1-0a5c-21f4.hcd failed with error -2
[ 156.772033] Bluetooth: hci0: BCM: Patch brcm/BCM20702A1-0a5c-21f4.hcd not found
[ 204.578481] r8169 0000:0c:00.0 eth0: link up
[ 204.578496] IPv6: ADDRCONF(NETDEV_CHANGE): eth0: link becomes ready
[ 572.408987] device-mapper: uevent: version 1.0.3
[ 572.409036] device-mapper: ioctl: 4.37.0-ioctl (2017-09-20) initialised: [email protected]
[ 600.260791] nr_pdflush_threads exported in /proc is scheduled for removal


rfkill list
0: tpacpi_bluetooth_sw: Bluetooth
Soft blocked: no
Hard blocked: no
2: hci0: Bluetooth
Soft blocked: no
Hard blocked: no

If any more information are required I will happily provide it. I've tried backport and compat-wireless which does not work. Read a quite a bit of forums to no avail.
Kind Regards