Mitochondria and chloroplasts are the two organelles that are double-membrane-bound. 

Characteristics of the mitochondria
Mitochondria are double- membrane-bound structures. The membrane of a
mitochondrion is divided into the inner and outer membranes, distinctly divided into two
aqueous compartments – outer and inner compartments. The outer membrane is very
porous (containing the organelle), while the inner membrane is deeply-folded.
These folds are known as cristae. Cristae increase the surface area inside the cell. They
are the sites for ATP-generating chemical reactions. The membrane of a mitochondrion
contains specific enzymes meant for specific mitochondrial functions. Hence, the
mitochondria are the sites for aerobic respiration. They have their own DNA and
ribosomes. Thus, they are able to make their own proteins. This is why they are
considered as semi-autonomous organelles

Characteristics of chloroplasts
Chloroplasts are double-membrane-bound structures.
They are divided into outer and inner membranes, further divided into two distinct
regions:
(i) Grana are stacks of flattened discs containing chlorophyll molecules. The
flattened membranous sacs are called thylakoids. The thylakoids of adjacent grana are
connected by membranous tubules called stroma lamellae.
(ii) Stroma is a homogenous mixture in which grana are embedded. It contains
several enzymes that are used for the synthesis of carbohydrates and proteins. It also
contains its own DNA and ribosomes.

Functions of the mitochondria:
(i) They are the sites for cellular respiration.
(ii)They provide energy in the form of ATP for all vital activities of living cells.
(iii)They have their own DNA and ribosomes. Hence, they are regarded as
semiautonomous organelles.
(iv) They have several enzymes, intermediately required for the synthesis of various
chemicals such as fatty acids, steroids, and amino acids.
Functions of chloroplasts:
(i) They trap solar energy and utilise it for manufacturing food for plants. Hence,
they are involved in the process of photosynthesis.
(ii) They contain the enzymes required for the synthesis of carbohydrates and
proteins.