Vauxhall Tigra since having a new battery fitted the roof or boot won’t open

Could try disconnecting battery terminal for a few mins and then reconnect , sometimes works . If not there are a few fuses related to roof that you could check,

Vauxhall Tigra II (Twin Top) – (2004 – 2008) – fuse box diagram
Year of production: 2004, 2005, 2006, 2007, 2008

Fuse box in engine compartment
Vauxhall Tigra - fuse box - engine compartment -engine z13dt
Vauxhall Tigra – fuse box – engine compartment -engine z13dt
Vauxhall Tigra - fuse box - engine compartment - engine z13dt
Vauxhall Tigra – fuse box – engine compartment – engine z13dt
Vauxhall Ttigra - fuse box - engine compartment - others engine
Vauxhall Ttigra – fuse box – engine compartment – others engine
Vauxhall Tigra - fuse box - engine compartment - others engine
Vauxhall Tigra – fuse box – engine compartment – others engine
The fuse box is located in the engine compartment next to the coolant expansion tank.

Number Circuit
1 Central control unit
2 Engine control unit
3 Instruments, information display, light switch, horn, hazard warning lamps, immobiliser
4 —
5 Electric window (left)
6 —
7 —
8 Ignition switch, starter
9 Injection system, fuel pump
10 Horn
11 Central control unit
12 Information display, Infotainment system: engine Z 13 DT
13 Vauxhall alarm system
14 Heated exterior mirrors
15 Windscreen washer system
16 Courtesy lamp
17 Central control unit
18 Heated rear window
19 Electric window (right)
20 —
21 —
22 Central control unit, immobiliser
23 Windscreen wipers
24 Infotainment system, Information display, Light switch, Courtesy lamp, Instruments, ESP®Plus
25 Reversing lamps, cigarette lighter, accessory socket
26 Seat heater (right)
27 Seat heater (left)
28 ABS
29 Retractable steel roof
30 Engine control unit
31 Air conditioning system
32 ABS, airbag
33 Engine control
34 Diesel filter heater
35 Electric window, Infotainment system
36 Dipped beam (left)
37 Right dipped beam, headlamp range adjustment
38 Tail lamp (left), parking lamp (left)
39 Tail lamp (right), parking lamp (right)
40 Brake lamps, cruise control
41 Front fog lamps
42 Fog tail lamp
43 Main beam (left)
44 Main beam (right)
45 Ventilation fan
46 Engine control unit
47 Retractable steel roof
48 Starter
49 ESP
50 ABS, ESP
51 Petrol engine: Easytronic
Diesel engine: Engine control unit
52 Radiator fan
53 Radiator fan
54 —
WARNING: Terminal and harness assignments for individual connectors will vary depending on vehicle equipment level, model, and market.