What are you trying to book? TK operates its own platform which doesn't necessarily speak well to other platforms.
In terms of LH, they don't like the competition so M&M members earn a much reduced level on TK services and TK members often earn nothing on LH. LH dislike the consequences of competition out of Germany by any airline particularly when on short haul a far better product is offered than their own - not difficult when you look at LH NEK. Equally TK were removed from the *A terminal at MUC just as it doubled in size as it was unable to cope with the capacity TK generates - two or three A321s a day but strangely it is able to cope with Etihad who LH are currently courting and their 789s!
TK are a great carrier and in all regards offer a better service than LH and there's the problem.