Yes Ridea will also fit but usually Ridea components are difficult to find and expensive.
56-44 is out of specification of most front derailleur but should work, its often used by pro cyclist who find that 52 or 53 is too short. I had 58-44 on my Moulton with a Campagnolo Super Record FD and it worked (this chainring set is specially made for Moulton)
The limitation factor for the big chainring on the Birdy is the chain tensionner pin, on the picture you can see that 56t is still OK.
If you increase the chainring size, you will need a new longer chain.
The Red-black KMC DLC chain above is very good but very expensive, THe KMC 11sl gold or 10sl gold Ti-N coating is less expensive and as good.