I am not sure if the tomcrypt has the support to generate private key from the given private exponent and modulus field. However, tomcrypt provides rsa_make_key functions to generate keys. The public/private keys can then be exported from these keys using rsa_export function.
/**
Create an RSA key
@param prng An active PRNG state
@param wprng The index of the PRNG desired
@param size The size of the modulus (key size) desired (octets)
@param e The "e" value (public key). e==65537 is a good choice
@param key [out] Destination of a newly created private key pair
@return CRYPT_OK if successful, upon error all allocated ram is freed
*/
int rsa_make_key(prng_state *prng, int wprng, int size, long e, rsa_key *key)
/**
This will export either an RSAPublicKey or RSAPrivateKey [defined in LTC_PKCS #1 v2.1]
@param out [out] Destination of the packet
@param outlen [in/out] The max size and resulting size of the packet
@param type The type of exported key (PK_PRIVATE or PK_PUBLIC)
@param key The RSA key to export
@return CRYPT_OK if successful
*/
int rsa_export(unsigned char *out, unsigned long *outlen, int type, rsa_key *key)